ENGLISH

Lectures on Linear Partial Differential Equations

By Gregory Eskin

Book information

Publisher
American Mathematical Society
Year
2011
ISBN
0821852841, 9780821852842
Language
english
Format
PDF
Filesize
7 MB (7095290 bytes)
Series
Graduate Studies in Mathematics 123
Pages
C+xviii+410+B\430
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-02-09 13:19:39

Description

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. Readership: Graduate students and research mathematicians interested in partial differential equations.

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