Elliptic Problems in Nonsmooth Domains
Elliptic Problems in Nonsmooth Domains
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.
- A classic first published in 1985
- Gives the background Sobolev spaces and elliptic problems
- Accessible to those with a background in functional analysis
Product details
No date availablePaperback
9781611972023
425 pages
230 × 153 × 22 mm
0.56kg
Table of Contents
- Foreword
- Preface
- 1. Sobolev spaces
- 2. Regular second-order elliptic boundary value problems
- 3. Second-order elliptic boundary value problems in convex domains
- 4. Second-order boundary value problems in polygons
- 5. More singular solutions
- 6. Results in spaces of Hölder functions
- 7. A model fourth-order problem
- 8. Miscellaneous
- Bibliography
- Index.
