Functional-analytic and complex methods, their interactions, and applications to partial differential equations :: proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 /
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the t...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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2001.
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| Zusammenfassung: | Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. |
| Beschreibung: | 1 online resource (xiii, 458 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812794550 9812794557 1281934496 9781281934499 9786611934491 6611934499 |
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| 245 | 0 | 0 | |a Functional-analytic and complex methods, their interactions, and applications to partial differential equations : |b proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / |c editors, H. Florian [and others]. |
| 260 | |a River Edge, N.J. : |b World Scientific, |c 2001. | ||
| 300 | |a 1 online resource (xiii, 458 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 1. Boundary value problems and initial value problems for partial differential equations. 1.1. Hyperbolic equations, waves and the singularity theory / M. Tsuji. 1.2. On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations / B. Paneah. 1.3. Zeilon's operator and lacunae / P. Wagner. 1.4. Representation of the Stokes potential in divergence form / J. Dubinskii. 1.5. On spectra of the operator rotor / R.S. Saks. 1.6. Algebraic properties of potential differential and pseudodifferential operators / I.E. Pleshchinskaya. 1.7. The method of weighted function spaces for solving initial value and boundary value problems / W. Tutschke. 1.8. The optimization of fixed-point methods / S. Graubner. 1.9. Principle of telethoscope / S. Saitoh. 1.10. Isometric mappings and the problem of A.D. Aleksandrov for conservative distances / T.M. Rassias. 1.11. Natural metrics of differential equations (abstract) / Z.D. Usmanov. 1.12. Embedding theorems in anisotropic functional spaces (abstract) / M.D. Ramazanov. 1.13. Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) / G. Kirchner. 1.14. Backlund transformations and nonlinear evolution equations (abstract) / J. Pungel. 1.15. Nonlinear perturbations of systems of partial differential equations (abstract) / C.J. Vanegas. 1.16. Partial differential equations and cubature formulas (abstract) / M.D. Ramazanov -- 2. Applications of functional-analytic and complex methods to mathematical physics. 2.1. Conservation laws for differential equations / V.S. Vladimirov. 2.2. Applied quatemionic analysis. Maxwell's system and Dirac's equation / V.V. Kravchenko. 2.3. Integral transforms method in the conjunction problems of electromagnetic fields / N.B. Pleshchinskii. 2.4. Remarks on fundamental matrices (Green's Tensors) in elastodynamics, piezoelectricity and crystal optics / N. Ortner. 2.5. Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars / G.V. Jaiani and S.S. Kharibegashvili. 2.6. Vanishing viscosity limit of the incompressible Navier-Stokes equation (abstract) / K. Asano -- 3. Partial complex differential equations in the plane. 3.1. Boundary value problems for a class of nonregular elliptic equations / N.E. Tovmasyan. 3.2. On the solutions of the iterated Bers-Vekua equation / P. Berglez. 3.3. The Bauer-Peschl equation -- Derivation and solution of a partial differential equation by Laplace's method / K.W. Tomantschger. 3.4. Komplexe differenzengleichungen / M. Canak. 3.5. Stability of solutions of nonuniformly elliptic systems and boundary value problems / A. Mamourian. 3.6. An explicit solution to a class of second kind complex integral equations with singular and super-singular kernels / N. Rajabov. 3.7. An explicit solution to a class of second kind linear systems of complex integral equations with singular and super-singular kernels (abstract) / N. Rajabov. 3.8. Initial value problems for pseudoholomorphic functions (abstract) / A.O. Celebi. 3.9. A boundary value problem for a special class of generalized analytic functions and its application to second order differential equations (abstract) / U. Aksoy. 3.10. Complex methods in operator theory (abstract) / H.L. Vasudeva. 3.11. On one boundary value problem of the theory of analytic functions on a cut plane (abstract) / N. Manjavidze -- 4. Complex methods in higher dimensions. 4.1. On a class of elliptic systems in the halfplane which are singular at the boundary / A. Dzhuraev. 4.2. Integral representations for inhomogeneous over-determined second order system of several complex equations / H. Begehr, D.Q. Dai and A. Dzhuraev. 4.3. Compactness of the canonical solution operator to [symbol] restricted to Bergman spaces / F. Haslinger. 4.4. The theorem of the regular continuation for partial differential equations in general form and its applications / Le Hung Son. 4.5. Some higher order equations in Clifford analysis / E. Obolashvili. 4.6. Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series / R.S. Krausshar. 4.7. Some implications of Clifford analysis (abstract) / J. Ryan. 4.8. Around zeroes of monogenic and hypermonogenic functions (abstract) / T. Hempfling. 4.9. Identity surfaces (abstract) / W. Tutschke. | |
| 520 | |a Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Differential equations, Partial |v Congresses. | |
| 650 | 0 | |a Functional analysis |v Congresses. | |
| 650 | 6 | |a Équations aux dérivées partielles |v Congrès. | |
| 650 | 6 | |a Analyse fonctionnelle |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Florian, Helmut. |0 http://id.loc.gov/authorities/names/n98017383 | |
| 758 | |i has work: |a Functional-analytic and complex methods, their interactions, and applications to partial differential equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGBppxFhmjmgv6fdqq6XFq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Functional-analytic and complex methods, their interactions, and applications to partial differential equations. |d River Edge, N.J. : World Scientific, 2001 |z 9810247648 |z 9789810247645 |w (DLC) 2002284362 |w (OCoLC)50737010 |
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| contents | 1. Boundary value problems and initial value problems for partial differential equations. 1.1. Hyperbolic equations, waves and the singularity theory / M. Tsuji. 1.2. On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations / B. Paneah. 1.3. Zeilon's operator and lacunae / P. Wagner. 1.4. Representation of the Stokes potential in divergence form / J. Dubinskii. 1.5. On spectra of the operator rotor / R.S. Saks. 1.6. Algebraic properties of potential differential and pseudodifferential operators / I.E. Pleshchinskaya. 1.7. The method of weighted function spaces for solving initial value and boundary value problems / W. Tutschke. 1.8. The optimization of fixed-point methods / S. Graubner. 1.9. Principle of telethoscope / S. Saitoh. 1.10. Isometric mappings and the problem of A.D. Aleksandrov for conservative distances / T.M. Rassias. 1.11. Natural metrics of differential equations (abstract) / Z.D. Usmanov. 1.12. Embedding theorems in anisotropic functional spaces (abstract) / M.D. Ramazanov. 1.13. Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) / G. Kirchner. 1.14. Backlund transformations and nonlinear evolution equations (abstract) / J. Pungel. 1.15. Nonlinear perturbations of systems of partial differential equations (abstract) / C.J. Vanegas. 1.16. Partial differential equations and cubature formulas (abstract) / M.D. Ramazanov -- 2. Applications of functional-analytic and complex methods to mathematical physics. 2.1. Conservation laws for differential equations / V.S. Vladimirov. 2.2. Applied quatemionic analysis. Maxwell's system and Dirac's equation / V.V. Kravchenko. 2.3. Integral transforms method in the conjunction problems of electromagnetic fields / N.B. Pleshchinskii. 2.4. Remarks on fundamental matrices (Green's Tensors) in elastodynamics, piezoelectricity and crystal optics / N. Ortner. 2.5. Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars / G.V. Jaiani and S.S. Kharibegashvili. 2.6. Vanishing viscosity limit of the incompressible Navier-Stokes equation (abstract) / K. Asano -- 3. Partial complex differential equations in the plane. 3.1. Boundary value problems for a class of nonregular elliptic equations / N.E. Tovmasyan. 3.2. On the solutions of the iterated Bers-Vekua equation / P. Berglez. 3.3. The Bauer-Peschl equation -- Derivation and solution of a partial differential equation by Laplace's method / K.W. Tomantschger. 3.4. Komplexe differenzengleichungen / M. Canak. 3.5. Stability of solutions of nonuniformly elliptic systems and boundary value problems / A. Mamourian. 3.6. An explicit solution to a class of second kind complex integral equations with singular and super-singular kernels / N. Rajabov. 3.7. An explicit solution to a class of second kind linear systems of complex integral equations with singular and super-singular kernels (abstract) / N. Rajabov. 3.8. Initial value problems for pseudoholomorphic functions (abstract) / A.O. Celebi. 3.9. A boundary value problem for a special class of generalized analytic functions and its application to second order differential equations (abstract) / U. Aksoy. 3.10. Complex methods in operator theory (abstract) / H.L. Vasudeva. 3.11. On one boundary value problem of the theory of analytic functions on a cut plane (abstract) / N. Manjavidze -- 4. Complex methods in higher dimensions. 4.1. On a class of elliptic systems in the halfplane which are singular at the boundary / A. Dzhuraev. 4.2. Integral representations for inhomogeneous over-determined second order system of several complex equations / H. Begehr, D.Q. Dai and A. Dzhuraev. 4.3. Compactness of the canonical solution operator to [symbol] restricted to Bergman spaces / F. Haslinger. 4.4. The theorem of the regular continuation for partial differential equations in general form and its applications / Le Hung Son. 4.5. Some higher order equations in Clifford analysis / E. Obolashvili. 4.6. Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series / R.S. Krausshar. 4.7. Some implications of Clifford analysis (abstract) / J. Ryan. 4.8. Around zeroes of monogenic and hypermonogenic functions (abstract) / T. Hempfling. 4.9. Identity surfaces (abstract) / W. Tutschke. |
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Boundary value problems and initial value problems for partial differential equations. 1.1. Hyperbolic equations, waves and the singularity theory / M. Tsuji. 1.2. On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations / B. Paneah. 1.3. Zeilon's operator and lacunae / P. Wagner. 1.4. Representation of the Stokes potential in divergence form / J. Dubinskii. 1.5. On spectra of the operator rotor / R.S. Saks. 1.6. Algebraic properties of potential differential and pseudodifferential operators / I.E. Pleshchinskaya. 1.7. The method of weighted function spaces for solving initial value and boundary value problems / W. Tutschke. 1.8. The optimization of fixed-point methods / S. Graubner. 1.9. Principle of telethoscope / S. Saitoh. 1.10. Isometric mappings and the problem of A.D. Aleksandrov for conservative distances / T.M. Rassias. 1.11. Natural metrics of differential equations (abstract) / Z.D. Usmanov. 1.12. Embedding theorems in anisotropic functional spaces (abstract) / M.D. Ramazanov. 1.13. Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) / G. Kirchner. 1.14. Backlund transformations and nonlinear evolution equations (abstract) / J. Pungel. 1.15. Nonlinear perturbations of systems of partial differential equations (abstract) / C.J. Vanegas. 1.16. Partial differential equations and cubature formulas (abstract) / M.D. Ramazanov -- 2. Applications of functional-analytic and complex methods to mathematical physics. 2.1. Conservation laws for differential equations / V.S. Vladimirov. 2.2. Applied quatemionic analysis. Maxwell's system and Dirac's equation / V.V. Kravchenko. 2.3. Integral transforms method in the conjunction problems of electromagnetic fields / N.B. Pleshchinskii. 2.4. Remarks on fundamental matrices (Green's Tensors) in elastodynamics, piezoelectricity and crystal optics / N. Ortner. 2.5. Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars / G.V. Jaiani and S.S. Kharibegashvili. 2.6. Vanishing viscosity limit of the incompressible Navier-Stokes equation (abstract) / K. Asano -- 3. Partial complex differential equations in the plane. 3.1. Boundary value problems for a class of nonregular elliptic equations / N.E. Tovmasyan. 3.2. On the solutions of the iterated Bers-Vekua equation / P. Berglez. 3.3. The Bauer-Peschl equation -- Derivation and solution of a partial differential equation by Laplace's method / K.W. Tomantschger. 3.4. Komplexe differenzengleichungen / M. Canak. 3.5. Stability of solutions of nonuniformly elliptic systems and boundary value problems / A. Mamourian. 3.6. An explicit solution to a class of second kind complex integral equations with singular and super-singular kernels / N. Rajabov. 3.7. An explicit solution to a class of second kind linear systems of complex integral equations with singular and super-singular kernels (abstract) / N. Rajabov. 3.8. Initial value problems for pseudoholomorphic functions (abstract) / A.O. Celebi. 3.9. A boundary value problem for a special class of generalized analytic functions and its application to second order differential equations (abstract) / U. Aksoy. 3.10. Complex methods in operator theory (abstract) / H.L. Vasudeva. 3.11. On one boundary value problem of the theory of analytic functions on a cut plane (abstract) / N. Manjavidze -- 4. Complex methods in higher dimensions. 4.1. On a class of elliptic systems in the halfplane which are singular at the boundary / A. Dzhuraev. 4.2. Integral representations for inhomogeneous over-determined second order system of several complex equations / H. Begehr, D.Q. Dai and A. Dzhuraev. 4.3. Compactness of the canonical solution operator to [symbol] restricted to Bergman spaces / F. Haslinger. 4.4. The theorem of the regular continuation for partial differential equations in general form and its applications / Le Hung Son. 4.5. Some higher order equations in Clifford analysis / E. Obolashvili. 4.6. Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series / R.S. Krausshar. 4.7. Some implications of Clifford analysis (abstract) / J. Ryan. 4.8. Around zeroes of monogenic and hypermonogenic functions (abstract) / T. Hempfling. 4.9. Identity surfaces (abstract) / W. Tutschke.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. 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| genre | Conference papers and proceedings fast |
| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn262617316 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:33Z |
| institution | BVB |
| isbn | 9789812794550 9812794557 1281934496 9781281934499 9786611934491 6611934499 |
| language | English |
| oclc_num | 262617316 |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 458 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
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| publishDateSort | 2001 |
| publisher | World Scientific, |
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| spelling | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / editors, H. Florian [and others]. River Edge, N.J. : World Scientific, 2001. 1 online resource (xiii, 458 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references. Print version record. 1. Boundary value problems and initial value problems for partial differential equations. 1.1. Hyperbolic equations, waves and the singularity theory / M. Tsuji. 1.2. On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations / B. Paneah. 1.3. Zeilon's operator and lacunae / P. Wagner. 1.4. Representation of the Stokes potential in divergence form / J. Dubinskii. 1.5. On spectra of the operator rotor / R.S. Saks. 1.6. Algebraic properties of potential differential and pseudodifferential operators / I.E. Pleshchinskaya. 1.7. The method of weighted function spaces for solving initial value and boundary value problems / W. Tutschke. 1.8. The optimization of fixed-point methods / S. Graubner. 1.9. Principle of telethoscope / S. Saitoh. 1.10. Isometric mappings and the problem of A.D. Aleksandrov for conservative distances / T.M. Rassias. 1.11. Natural metrics of differential equations (abstract) / Z.D. Usmanov. 1.12. Embedding theorems in anisotropic functional spaces (abstract) / M.D. Ramazanov. 1.13. Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) / G. Kirchner. 1.14. Backlund transformations and nonlinear evolution equations (abstract) / J. Pungel. 1.15. Nonlinear perturbations of systems of partial differential equations (abstract) / C.J. Vanegas. 1.16. Partial differential equations and cubature formulas (abstract) / M.D. Ramazanov -- 2. Applications of functional-analytic and complex methods to mathematical physics. 2.1. Conservation laws for differential equations / V.S. Vladimirov. 2.2. Applied quatemionic analysis. Maxwell's system and Dirac's equation / V.V. Kravchenko. 2.3. Integral transforms method in the conjunction problems of electromagnetic fields / N.B. Pleshchinskii. 2.4. Remarks on fundamental matrices (Green's Tensors) in elastodynamics, piezoelectricity and crystal optics / N. Ortner. 2.5. Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars / G.V. Jaiani and S.S. Kharibegashvili. 2.6. Vanishing viscosity limit of the incompressible Navier-Stokes equation (abstract) / K. Asano -- 3. Partial complex differential equations in the plane. 3.1. Boundary value problems for a class of nonregular elliptic equations / N.E. Tovmasyan. 3.2. On the solutions of the iterated Bers-Vekua equation / P. Berglez. 3.3. The Bauer-Peschl equation -- Derivation and solution of a partial differential equation by Laplace's method / K.W. Tomantschger. 3.4. Komplexe differenzengleichungen / M. Canak. 3.5. Stability of solutions of nonuniformly elliptic systems and boundary value problems / A. Mamourian. 3.6. An explicit solution to a class of second kind complex integral equations with singular and super-singular kernels / N. Rajabov. 3.7. An explicit solution to a class of second kind linear systems of complex integral equations with singular and super-singular kernels (abstract) / N. Rajabov. 3.8. Initial value problems for pseudoholomorphic functions (abstract) / A.O. Celebi. 3.9. A boundary value problem for a special class of generalized analytic functions and its application to second order differential equations (abstract) / U. Aksoy. 3.10. Complex methods in operator theory (abstract) / H.L. Vasudeva. 3.11. On one boundary value problem of the theory of analytic functions on a cut plane (abstract) / N. Manjavidze -- 4. Complex methods in higher dimensions. 4.1. On a class of elliptic systems in the halfplane which are singular at the boundary / A. Dzhuraev. 4.2. Integral representations for inhomogeneous over-determined second order system of several complex equations / H. Begehr, D.Q. Dai and A. Dzhuraev. 4.3. Compactness of the canonical solution operator to [symbol] restricted to Bergman spaces / F. Haslinger. 4.4. The theorem of the regular continuation for partial differential equations in general form and its applications / Le Hung Son. 4.5. Some higher order equations in Clifford analysis / E. Obolashvili. 4.6. Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series / R.S. Krausshar. 4.7. Some implications of Clifford analysis (abstract) / J. Ryan. 4.8. Around zeroes of monogenic and hypermonogenic functions (abstract) / T. Hempfling. 4.9. Identity surfaces (abstract) / W. Tutschke. Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. English. Differential equations, Partial Congresses. Functional analysis Congresses. Équations aux dérivées partielles Congrès. Analyse fonctionnelle Congrès. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial fast Functional analysis fast Conference papers and proceedings fast Florian, Helmut. http://id.loc.gov/authorities/names/n98017383 has work: Functional-analytic and complex methods, their interactions, and applications to partial differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCGBppxFhmjmgv6fdqq6XFq https://id.oclc.org/worldcat/ontology/hasWork Print version: Functional-analytic and complex methods, their interactions, and applications to partial differential equations. River Edge, N.J. : World Scientific, 2001 9810247648 9789810247645 (DLC) 2002284362 (OCoLC)50737010 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235761 Volltext |
| spellingShingle | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / 1. Boundary value problems and initial value problems for partial differential equations. 1.1. Hyperbolic equations, waves and the singularity theory / M. Tsuji. 1.2. On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations / B. Paneah. 1.3. Zeilon's operator and lacunae / P. Wagner. 1.4. Representation of the Stokes potential in divergence form / J. Dubinskii. 1.5. On spectra of the operator rotor / R.S. Saks. 1.6. Algebraic properties of potential differential and pseudodifferential operators / I.E. Pleshchinskaya. 1.7. The method of weighted function spaces for solving initial value and boundary value problems / W. Tutschke. 1.8. The optimization of fixed-point methods / S. Graubner. 1.9. Principle of telethoscope / S. Saitoh. 1.10. Isometric mappings and the problem of A.D. Aleksandrov for conservative distances / T.M. Rassias. 1.11. Natural metrics of differential equations (abstract) / Z.D. Usmanov. 1.12. Embedding theorems in anisotropic functional spaces (abstract) / M.D. Ramazanov. 1.13. Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) / G. Kirchner. 1.14. Backlund transformations and nonlinear evolution equations (abstract) / J. Pungel. 1.15. Nonlinear perturbations of systems of partial differential equations (abstract) / C.J. Vanegas. 1.16. Partial differential equations and cubature formulas (abstract) / M.D. Ramazanov -- 2. Applications of functional-analytic and complex methods to mathematical physics. 2.1. Conservation laws for differential equations / V.S. Vladimirov. 2.2. Applied quatemionic analysis. Maxwell's system and Dirac's equation / V.V. Kravchenko. 2.3. Integral transforms method in the conjunction problems of electromagnetic fields / N.B. Pleshchinskii. 2.4. Remarks on fundamental matrices (Green's Tensors) in elastodynamics, piezoelectricity and crystal optics / N. Ortner. 2.5. Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars / G.V. Jaiani and S.S. Kharibegashvili. 2.6. Vanishing viscosity limit of the incompressible Navier-Stokes equation (abstract) / K. Asano -- 3. Partial complex differential equations in the plane. 3.1. Boundary value problems for a class of nonregular elliptic equations / N.E. Tovmasyan. 3.2. On the solutions of the iterated Bers-Vekua equation / P. Berglez. 3.3. The Bauer-Peschl equation -- Derivation and solution of a partial differential equation by Laplace's method / K.W. Tomantschger. 3.4. Komplexe differenzengleichungen / M. Canak. 3.5. Stability of solutions of nonuniformly elliptic systems and boundary value problems / A. Mamourian. 3.6. An explicit solution to a class of second kind complex integral equations with singular and super-singular kernels / N. Rajabov. 3.7. An explicit solution to a class of second kind linear systems of complex integral equations with singular and super-singular kernels (abstract) / N. Rajabov. 3.8. Initial value problems for pseudoholomorphic functions (abstract) / A.O. Celebi. 3.9. A boundary value problem for a special class of generalized analytic functions and its application to second order differential equations (abstract) / U. Aksoy. 3.10. Complex methods in operator theory (abstract) / H.L. Vasudeva. 3.11. On one boundary value problem of the theory of analytic functions on a cut plane (abstract) / N. Manjavidze -- 4. Complex methods in higher dimensions. 4.1. On a class of elliptic systems in the halfplane which are singular at the boundary / A. Dzhuraev. 4.2. Integral representations for inhomogeneous over-determined second order system of several complex equations / H. Begehr, D.Q. Dai and A. Dzhuraev. 4.3. Compactness of the canonical solution operator to [symbol] restricted to Bergman spaces / F. Haslinger. 4.4. The theorem of the regular continuation for partial differential equations in general form and its applications / Le Hung Son. 4.5. Some higher order equations in Clifford analysis / E. Obolashvili. 4.6. Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series / R.S. Krausshar. 4.7. Some implications of Clifford analysis (abstract) / J. Ryan. 4.8. Around zeroes of monogenic and hypermonogenic functions (abstract) / T. Hempfling. 4.9. Identity surfaces (abstract) / W. Tutschke. Differential equations, Partial Congresses. Functional analysis Congresses. Équations aux dérivées partielles Congrès. Analyse fonctionnelle Congrès. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial fast Functional analysis fast |
| title | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / |
| title_auth | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / |
| title_exact_search | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / |
| title_full | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / editors, H. Florian [and others]. |
| title_fullStr | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / editors, H. Florian [and others]. |
| title_full_unstemmed | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / editors, H. Florian [and others]. |
| title_short | Functional-analytic and complex methods, their interactions, and applications to partial differential equations : |
| title_sort | functional analytic and complex methods their interactions and applications to partial differential equations proceedings of the international graz workshop graz austria 12 16 february 2001 |
| title_sub | proceedings of the international Graz workshop, Graz, Austria, 12-16 February 2001 / |
| topic | Differential equations, Partial Congresses. Functional analysis Congresses. Équations aux dérivées partielles Congrès. Analyse fonctionnelle Congrès. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial fast Functional analysis fast |
| topic_facet | Differential equations, Partial Congresses. Functional analysis Congresses. Équations aux dérivées partielles Congrès. Analyse fonctionnelle Congrès. MATHEMATICS Differential Equations Partial. Differential equations, Partial Functional analysis Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235761 |
| work_keys_str_mv | AT florianhelmut functionalanalyticandcomplexmethodstheirinteractionsandapplicationstopartialdifferentialequationsproceedingsoftheinternationalgrazworkshopgrazaustria1216february2001 |