This classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behavior of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners. Elliptic Problems in Nonsmooth Domains provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, develops a comprehensive theory for second-order elliptic boundary value problems and addresses fourth-order boundary value problems and numerical treatment of singularities. This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible.

Author: Pierre Grisvard
Binding Type: Paperback
Publisher: Society for Industrial and Applied Mathematic
Published: 10/20/2011
Series: Classics in Applied Mathematics
Pages: 425
ISBN: 9781611972023
Siam Edition

About the Author
Grisvard, Pierre: - Pierre Grisvard (1940-1994) was Professor of Mathematics at the University of Nice, France, and Director of the Institute Henri Poincaré in Paris.