Elements of the modern theory : equations with constant coefficients
著者
書誌事項
Elements of the modern theory : equations with constant coefficients
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 31 . Partial differential equations ; 2）
Springer-Verlag, c1994
- : gw
- : us
- タイトル別名
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Differentsial'nye uravneniya s chastnymi proizvodnymi
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi
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注記
Translation of: "Different︠s︡ialńye uravnenii︠a︡ s chastnymi proizvodnymi 2," which is vol. 31 of the serial "Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamentalńye napravlenii︠a︡"
Includes bibliographical references and author & subject indexes: p. [257]-263
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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