Partial differential equations: 3 Nonlinear equations
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
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [und andere]
Springer
1997
|
| Edition: | Corr. 2. printing |
| Series: | Applied mathematical sciences
117 |
| Subjects: | |
| Links: | 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 |
| Summary: | 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 |
| Abstract: | 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 |
| Physical Description: | XXI, 608 S. graph. Darst. |
| ISBN: | 0387946527 |
Staff View
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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 | |
| 650 | 4 | |a Differential equations, Partial | |
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Record in the Search Index
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|---|---|
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| 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
|
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| author | Taylor, Michael Eugene 1946- |
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| classification_rvk | SK 540 SK 620 |
| ctrlnum | (OCoLC)37277867 (DE-599)BVBBV012271933 |
| dewey-full | 515/.353 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.353 510 |
| dewey-search | 515/.353 510 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Corr. 2. printing |
| format | Book |
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| id | DE-604.BV012271933 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:27:23Z |
| institution | BVB |
| isbn | 0387946527 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008317558 |
| oclc_num | 37277867 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-384 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-188 DE-11 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-384 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-188 DE-11 |
| 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 |
| 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 |
| work_keys_str_mv | AT taylormichaeleugene partialdifferentialequations3 |
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Branch Library Physics
| Call Number: |
0202 MAT 350f 2002 A 1078-3
Floor plan |
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| Copy 1 | Available for loan On Shelf |