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Lectures on Linear Partial Differential Equations

Name: Lectures on Linear Partial Differential Equations
Brand: American Mathematical Society
SKU: 06348454
Price: 161.54 EUR
Availability: InStock
Author: G. I. Eskin
ISBN: 9780821852842

G. I. Eskin

Langue

Anglais

Livre Livre relié

Code Libristo: 06348454

Éditeurs American Mathematical Society, novembre 2011

This book is a reader-friendly, relatively short introduction to the modern theory of linear partial... Description détaillée

Code Libristo: 06348454

392 b

161.54 €

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This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces with many examples and applications to equations with constant coefficients. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory. The book also covers microlocal analysis, including the theory of pseudodifferential and Fourier integral operators, and the propagation of singularities for operators of real principal type. Among the more advanced topics are the global theory of Fourier integral operators and the geometric optics construction in the large, the Atiyah-Singer index theorem in Rn , and the oblique derivative problem.