The book 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, pseudodiffe
Elements of the Modern Theory of Partial Differential Equations
โ Scribed by A.I. Komech, Yu.V. Egorov, M.A. Shubin, Yu.V. Egorov, M.A. Shubin, P.C. Sinha
- Book ID
- 127455415
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 2 MB
- Edition
- Springer
- Category
- Library
- ISBN-13
- 9783540653776
No coin nor oath required. For personal study only.
โฆ Synopsis
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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