Elements of the modern theory of partial differential equations

By: Egorov, Yu. VContributor(s): Komech, A. I | Shubin, M. AMaterial type: Text

TextPublication details: New York : Springer, 1999. Description: 263 pages : ill. ; 24 cmISBN: 9783540653776Subject(s): Differential equations, Linear | Differential equations, Partial | Differential equation | Pseudodifferential operator | Microlocal analysisDDC classification: 517.95 Online resources: Table of content | Reviews Summary: 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.

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Book	NISER LIBRARY	517.95 EGO-E (Browse shelf(Opens below))	Available		25716

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Includes bibliographical references (p. 251-255) and indexes.

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.

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