Elliptic Problems in Nonsmooth Domains
Published on 20. October 2011
Book
Paperback/Softback
425 pages
978-1-61197-202-3 (ISBN)
Description
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.
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.
More details
Edition
Siam edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 247 mm
Width: 174 mm
Thickness: 22 mm
Weight
558 gr
ISBN-13
978-1-61197-202-3 (9781611972023)
Schweitzer Classification
Person
Pierre Grisvard (1940-1994) was Professor of Mathematics at the University of Nice, France, and Director of the Institute Henri Poincaré in Paris.
Content
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.