Lectures on Linear Partial Differential Equations (Graduate

Lectures on Linear Partial Differential Equations (Graduate Studies in Mathematics)

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 $\mathbb R^n$, and the oblique derivative problem.

Country	USA
Author	Gregory Eskin
Binding	Hardcover
EAN	9780821852842
ISBN	0821852841
IsEligibleForTradeIn	1
Label	American Mathematical Society
Manufacturer	American Mathematical Society
NumberOfPages	410
PublicationDate	2011-07-06
Publisher	American Mathematical Society
Studio	American Mathematical Society
ReleaseDate	0000-00-00

Lectures on Linear Partial Differential Equations (Graduate Studies in Mathematics)