Elliptic boundary value problems of second order in piecewise smooth domains:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
Elsevier
2006
|
| Edition: | 1st ed |
| Series: | North-Holland mathematical library
v. 69 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. Key features: * New the Hardy Friedrichs Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. * The behaviour of weak solutions near conical point for the Dirichlet problem for m Laplacian. * The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. * The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian. * The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration Includes bibliographical references (p. 497-525) and indexes |
| Physical Description: | 1 Online-Ressource (v, 531 p.) |
| ISBN: | 9780444521095 0444521097 0080461735 9780080461731 |
Staff View
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| 245 | 1 | 0 | |a Elliptic boundary value problems of second order in piecewise smooth domains |c Mikhail Borsuk, Vladimir Kondratiev |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2006 | |
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| 500 | |a The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. Key features: * New the Hardy Friedrichs Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. * The behaviour of weak solutions near conical point for the Dirichlet problem for m Laplacian. * The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. * The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian. * The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration | ||
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| author | Borsuk, Mikhail |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444521095 0444521097 0080461735 9780080461731 |
| language | English |
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| spelling | Borsuk, Mikhail Verfasser aut Elliptic boundary value problems of second order in piecewise smooth domains Mikhail Borsuk, Vladimir Kondratiev 1st ed Amsterdam Elsevier 2006 1 Online-Ressource (v, 531 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library v. 69 The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. Key features: * New the Hardy Friedrichs Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. * The behaviour of weak solutions near conical point for the Dirichlet problem for m Laplacian. * The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems. * The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian. * The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration Includes bibliographical references (p. 497-525) and indexes MATHEMATICS / Differential Equations / Partial bisacsh Boundary value problems local Differential equations, Elliptic local Boundary value problems fast Differential equations, Elliptic fast Boundary value problems Differential equations, Elliptic Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 s 1\p DE-604 Kondratʹev, V. P. Sonstige oth http://www.sciencedirect.com/science/book/9780444521095 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Borsuk, Mikhail Elliptic boundary value problems of second order in piecewise smooth domains MATHEMATICS / Differential Equations / Partial bisacsh Boundary value problems local Differential equations, Elliptic local Boundary value problems fast Differential equations, Elliptic fast Boundary value problems Differential equations, Elliptic Elliptisches Randwertproblem (DE-588)4193399-0 gnd |
| subject_GND | (DE-588)4193399-0 |
| title | Elliptic boundary value problems of second order in piecewise smooth domains |
| title_auth | Elliptic boundary value problems of second order in piecewise smooth domains |
| title_exact_search | Elliptic boundary value problems of second order in piecewise smooth domains |
| title_full | Elliptic boundary value problems of second order in piecewise smooth domains Mikhail Borsuk, Vladimir Kondratiev |
| title_fullStr | Elliptic boundary value problems of second order in piecewise smooth domains Mikhail Borsuk, Vladimir Kondratiev |
| title_full_unstemmed | Elliptic boundary value problems of second order in piecewise smooth domains Mikhail Borsuk, Vladimir Kondratiev |
| title_short | Elliptic boundary value problems of second order in piecewise smooth domains |
| title_sort | elliptic boundary value problems of second order in piecewise smooth domains |
| topic | MATHEMATICS / Differential Equations / Partial bisacsh Boundary value problems local Differential equations, Elliptic local Boundary value problems fast Differential equations, Elliptic fast Boundary value problems Differential equations, Elliptic Elliptisches Randwertproblem (DE-588)4193399-0 gnd |
| topic_facet | MATHEMATICS / Differential Equations / Partial Boundary value problems Differential equations, Elliptic Elliptisches Randwertproblem |
| url | http://www.sciencedirect.com/science/book/9780444521095 |
| work_keys_str_mv | AT borsukmikhail ellipticboundaryvalueproblemsofsecondorderinpiecewisesmoothdomains AT kondratʹevvp ellipticboundaryvalueproblemsofsecondorderinpiecewisesmoothdomains |