Partial Differential Equations III - The Cauchy Problem: Qualitative Theory of Partial Differential Equations (Hardcover)

Two general questions regarding partial differential equations are explored in detail in this volume of the Encyclopaedia. The first is the Cauchy problem, and its attendant question of well-posedness (or correctness). The authors address this question in the context of PDEs with constant coefficients and more general convolution equations in the first two chapters. The third chapter extends a number of these results to equations with variable coefficients. The second topic is the qualitative theory of second order linear PDEs, in particular, elliptic and parabolic equations. Thus, the second part of the book is primarily a look at the behavior of solutions of these equations. There are versions of the maximum principle, the Phragmen-Lindel]f theorem and Harnack's inequality discussed for both elliptic and parabolic equations. The book is intended for readers who are already familiar with the basic material in the theory of partial differential equations.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, Vol 32
Release date:	December 1991
First published:	October 1991
Editors:	Yu.V. Egorov • M.A. Shubin
Translators:	M. Grinfeld
Dimensions:	216 x 138mm (L x W)
Format:	Hardcover
Pages:	210
ISBN-13:	978-3-540-52003-0
Subtitles:	Russian
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	3-540-52003-1
Barcode:	9783540520030

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