Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains

Michail (University of Warmia and Mazury in Olsztyn Borsuk

ISBN 10: 0444521097 / ISBN 13: 9780444521095

Published by Elsevier Science & Technology Jan 2006, 2006

About this Item

Neuware - 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.

Seller Inventory # 9780444521095

Bibliographic Details

• Title: Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains
• Publisher: Elsevier Science & Technology Jan 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 0444521097
• ISBN 13: 9780444521095
• Binding: Buch
• Condition: Neu
• Dimensions: 240W x 170H x 35D millimeters 240 millimeters width by 170 millimeters height by 35 millimeters depth
• Weight: 896 grams

About this title

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.

* 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.