Elliptic Equations in Polyhedral Domains (Mathematical Surveys and Monographs, Band 162) - Hardcover

Mazya, Vladimir; Rossmann, Jurgen

Hardcover

ISBN 10: 0821849832 ISBN 13: 9780821849835

Verlag: American Mathematical Society, 2010

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 0821849832
• ISBN 13: 9780821849835
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 608
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Niederlande