Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains: Volume 69 (North-Holland Mathematical Library #69) (Hardcover)

Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains: Volume 69 (North-Holland Mathematical Library #69) By Michail Borsuk, Vladimir Kondratiev Cover Image
$279.50
Available to SHIP now; STORE PICKUP in 7-10 days
This book cannot be returned. PRINT-ON-DEMAND; printing may add 2-4 business days.

Description


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.



Product Details
ISBN: 9780444521095
ISBN-10: 0444521097
Publisher: Elsevier Science
Publication Date: March 1st, 2006
Pages: 531
Language: English
Series: North-Holland Mathematical Library