Partial differential 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 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 equa…
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- Full title :Partial differential equations / Michael E. Taylor.
Summary
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.
Edition Statements
- Publication Date:©1996.
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:©1996.
The Physical Object
- Description:3 volumes : : illustrations ; : 25 cm
Edition Identifiers
- ISBN:0387946535, 9780387946535, 0387946519, 9780387946511, 0387946527, 9780387946528, 0387946543, 9780387946542
- oclc:ocm34025051
- LC Classification:QA1
- Dewey Decimal:510 s
Table of Contents
1. Basic theory -- 2. Qualitative studies of linear equations -- 3. Nonlinear equations.
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Partial Differential Equations I: Basic Theory --…
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