Volume 32. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:3540520031.

Bestandsnummer des Verk�ufers 4130157

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Bibliografische Details

Titel

Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations (Volume 32)

Verlag

Springer

Ver�ffentlichungsdatum

1991

Sprache

Englisch

ISBN-10

3540520031

ISBN-13

9783540520030

Bindung

Hardcover

Zustand

Good

Verk�uferkataloge

Mathematics

�ber diesen Titel

Inhaltsangabe

I. The Cauchy Problem.- II. Qualitative Theory of Second Order Linear Partial Differential Equations.- Author Index.

Rese�a del editor

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 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. The second part of the book is primarily a look at the behaviour of solutions of these equations. There are versions of the maximum principle, the Phragmen-Lindeloef 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.

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