Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains - Softcover

Borsuk, Michail

Softcover

ISBN 10: 0444545999 ISBN 13: 9780444545992

Publisher: Elsevier Science, 2011

Synopsis

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. Key features: * New the Hardy - Friedrichs - Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this. * The question about the influence of the coefficients smoothness on the regularity of solutions. * New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points. * 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.

Edition details

• Publisher: Elsevier Science
• Publication date: 2011
• Language: English
• ISBN 10: 0444545999
• ISBN 13: 9780444545992
• Binding: Paperback
• Number of pages: 544