Elements of the modern theory of partial differential equations
著者
書誌事項
Elements of the modern theory of partial differential equations
Springer-Verlag, c1999
- タイトル別名
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Itogi nauki i tekhniki, Sovremennye problemy matematiki
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注記
Includes bibliographical references and indexes
Second printing 1999 of the first edition 1994, which was originally published as Partial Differential Equations ll, volume 31 of the Encyclopaedia of Mathematical Sciences
内容説明・目次
内容説明
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
目次
I. Linear Partial Differential Equations. Elements of the Modern Theory.- II. Linear Partial Differential Equations with Constant Coefficients.- Author Index.
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