Partial Differential Equations II: Elements of the Modern Theory. Equations with Constant Coefficients

✍ Scribed by Yu. V. Egorov, M. A. Shubin

Publisher: Springer
Year: 1995
Tongue: English
Leaves: 134
Series: Encyclopaedia of Mathematical Sciences
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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, 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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