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Partial differential equations III: The Cauchy problem: Qualitative Theory of Partial Differential Equations.

Door Yu. V. Egorov e.a.

Categorie
Algemeen wetenschap
Boeknummer
#343795-ZA32
Titel
Partial differential equations III: The Cauchy problem: Qualitative Theory of Partial Differential Equations.
Auteur
Egorov, Yu. V. & M.A. Shubin (editors)
Boektype
Gebonden hardcover
Uitgeverij
Berlin/Heidelberg : Springer-Verlag
Jaar van uitgave
1991
ISBN10
3540520031
ISBN13
9783540520030
Taal
Engels
Beschrijving
Original boards, illustrated with numerous equations and diagrams, 8vo. Encyclopaedia of Mathematical Sciences, 32.
Samenvatting

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 para
... (Lees verder)bolic equations. The book is intended for readers who are already familiar with the basic material in the theory of partial differential equations.
Pagina's
197
Conditie
Goed — Name in pen on title page.
Prijs
€ 40,00

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