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An Introduction to Partial Differential Equations / by Michael Renardy, Robert C. Rogers
(Texts in Applied Mathematics. ISSN:21969949 ; 13)

2nd ed. 2004.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 2004
本文言語 英語
大きさ XIV, 434 p. 21 illus : online resource
著者標目 *Renardy, Michael author
Rogers, Robert C author
SpringerLink (Online service)
件 名 LCSH:Differential equations
LCSH:Mathematics
LCSH:Mathematical physics
LCSH:Engineering mathematics
LCSH:Engineering -- Data processing  全ての件名で検索
FREE:Differential Equations
FREE:Applications of Mathematics
FREE:Mathematical Methods in Physics
FREE:Mathematical and Computational Engineering Applications
一般注記 Characteristics -- Conservation Laws and Shocks -- Maximum Principles -- Distributions -- Function Spaces -- Sobolev Spaces -- Operator Theory -- Linear Elliptic Equations -- Nonlinear Elliptic Equations -- Energy Methods for Evolution Problems -- Semigroup Methods
Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded
HTTP:URL=https://doi.org/10.1007/b97427
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Springer eBooks 9780387216874
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データ種別 電子ブック
分 類 LCC:QA370-380
DC23:515.35
書誌ID 4000104412
ISBN 9780387216874

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