Elliptic Equations in Polyhedral Domains Hardback
by Vladimir Maz'ya, Jurgen Rossmann
Part of the Mathematical Surveys and Monographs series
Hardback
Description
This is the first monograph which systematically treats elliptic boundary value problems in domains of polyhedral type.
The authors mainly describe their own recent results focusing on the Dirichlet problem for linear strongly elliptic systems of arbitrary order, Neumann and mixed boundary value problems for second order systems, and on boundary value problems for the stationary Stokes and Navier-Stokes systems.
A feature of the book is the systematic use of Green's matrices.
Using estimates for the elements of these matrices, the authors obtain solvability and regularity theorems for the solutions in weighted and non-weighted Sobolev and Holder spaces.
Some classical problems of mathematical physics (Laplace and biharmonic equations, Lame system) are considered as examples.
Furthermore, the book contains maximum modulus estimates for the solutions and their derivatives.
The exposition is self-contained, and an introductory chapter provides background material on the theory of elliptic boundary value problems in domains with smooth boundaries and in domains with conical points.
The book is destined for graduate students and researchers working in elliptic partial differential equations and applications.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:608 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2010
- Category:
- ISBN:9780821849835
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:608 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2010
- Category:
- ISBN:9780821849835
