Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains

Szerző: Michail Borsuk, Vladimir Kondratiev

Nyelv:

Kötés: Kemény kötésű

Kiadó: Elsevier Science

Elérhetőség: Beszállítói készleten

Küldés 14-21 napon belül

91 882 Ft

The book contains a systematic treatment of the qualitative theory of elliptic boundary value proble...

Információk a könyvről

Szerző

Michail Borsuk, Vladimir Kondratiev

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2006

oldal

538

EAN

9780444521095

ISBN

0444521097

Enbook ID

04611504

Kiadó

Elsevier Science

Súly

896

Méretek

170 x 240 x 35

Teljes leírás

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. The book contains the Hardy Friedrichs Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. It covers the precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. It answers the question about the influence of the coefficients smoothness on the regularity of solutions. It has new existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. It covers: the precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems; the behaviour of weak solutions near conical point for the Dirichlet problem for m Laplacian; the behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration; and, the behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.

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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains

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