Partial differential equations: 3 Nonlinear equations
This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [und andere]
Springer
1997
|
| Ausgabe: | Corr. 2. printing |
| Schriftenreihe: | Applied mathematical sciences
117 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis |
| Beschreibung: | XXI, 608 S. graph. Darst. |
| ISBN: | 0387946527 |
Internformat
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| 490 | 1 | |a Applied mathematical sciences |v 117 | |
| 490 | 0 | |a Applied mathematical sciences | |
| 520 | 3 | |a This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE | |
| 520 | |a This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis | ||
| 650 | 4 | |a Diferensiyel denklemler, Kısmi | |
| 650 | 7 | |a Equations aux dérivées partielles |2 ram | |
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Datensatz im Suchindex
| _version_ | 1805066157059735552 |
|---|---|
| adam_text |
PARTIAL DIFFERENTIAL EQUATIONS III PARTIAL DIFFERENTIAL EQUATIONS III
PARTIAL DIFFERENTIAL EQUATIONS III NONLINEAR EQUATIONS NONLINEAR
EQUATIONS NONLINEAR EQUATIONS THIS IS THE THIRD OF THREE VOLUMES ON
PARTIAL DIFFERENTIAL EQUATIONS. IT IS DEVOTED TO NONLINEAR PDE. THERE
ARE TREATMENTS OF A NUMBER OF EQUATIONS OF CLASSICAL CONTINUUM
MECHANICS, INCLUDING RELATIVISTIC VERSIONS. THERE ARE ALSO TREATMENTS OF
VARIOUS EQUATIONS ARISING IN DIFFERENTIAL GEOMETRY, SUCH AS IN THE STUDY
OF MINIMAL SURFACES, ISOMETRIC IMBEDDING, CONFORMAL DEFORMATION,
HARMONIC MAPS, AND PRESCRIBED GAUSS CURVATURE. IN ADDITION, SOME
NONLINEAR DIFFUSION PROBLEMS ARE STUDIED. ANALYTICAL TOOLS INTRODUCED IN
THIS VOLUME INCLUDE THE THEORY OF L^P SOBOLEV SPACES, H LDER SPACES,
HARDY SPACES, AND MORREY SPACES, AND ALSO A DEVELOPMENT OF
CALDERON-ZYGMUND THEORY AND PARADIFFERENTIAL OPERATOR CALCULUS. THE BOOK
IS ADDRESSED TO GRADUATE STUDENTS IN MATHEMATICS AND TO PROFESSIONAL
MATHEMATICIANS, WITH AN INTEREST IN PARTIAL DIFFERENTIAL EQUATIONS,
MATHEMATICAL PHYSICS, DIFFERENTIAL GEOMETRY, HARMONIC ANALYSIS AND
COMPLEX ANALYSIS. TOC:13) FUNCTION SPACE AND OPERATOR THEORY FOR
NONLINEAR ANALYSIS; 14) NONLINEAR ELLIPTIC EQUATIONS; 15) NONLINEAR
PARABOLIC EQUATIONS; 16) NONLINEAR HYPERBOLIC EQUATIONS; 17) EULER AND
NAVIER-STOKES EQUATIONS FOR INCOMPRESSIBLE FLUIDS; 18) EINSTEIN'S
EQUATIONS |
| any_adam_object | 1 |
| author | Taylor, Michael Eugene 1946- |
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| callnumber-first | Q - Science |
| callnumber-label | QA1 |
| callnumber-raw | QA1 |
| callnumber-search | QA1 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 SK 620 |
| ctrlnum | (OCoLC)37277867 (DE-599)BVBBV012271933 |
| dewey-full | 510 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515/.353 |
| dewey-search | 510 515/.353 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Corr. 2. printing |
| format | Book |
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| id | DE-604.BV012271933 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:13:52Z |
| institution | BVB |
| isbn | 0387946527 |
| language | English |
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| physical | XXI, 608 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Taylor, Michael Eugene 1946- Verfasser (DE-588)123980119 aut Partial differential equations 3 Nonlinear equations Michael E. Taylor Corr. 2. printing New York [und andere] Springer 1997 XXI, 608 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 117 Applied mathematical sciences This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis Diferensiyel denklemler, Kısmi Equations aux dérivées partielles ram Differential equations, Partial (DE-604)BV010899159 3 Applied mathematical sciences 117 (DE-604)BV000005274 117 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008317558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Taylor, Michael Eugene 1946- Partial differential equations Applied mathematical sciences Diferensiyel denklemler, Kısmi Equations aux dérivées partielles ram Differential equations, Partial |
| title | Partial differential equations |
| title_auth | Partial differential equations |
| title_exact_search | Partial differential equations |
| title_full | Partial differential equations 3 Nonlinear equations Michael E. Taylor |
| title_fullStr | Partial differential equations 3 Nonlinear equations Michael E. Taylor |
| title_full_unstemmed | Partial differential equations 3 Nonlinear equations Michael E. Taylor |
| title_short | Partial differential equations |
| title_sort | partial differential equations nonlinear equations |
| topic | Diferensiyel denklemler, Kısmi Equations aux dérivées partielles ram Differential equations, Partial |
| topic_facet | Diferensiyel denklemler, Kısmi Equations aux dérivées partielles Differential equations, Partial |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008317558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010899159 (DE-604)BV000005274 |
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