Crack Theory and Edge Singularities - Couverture rigide

Kapanadze, D. V.; Schulze, Bert-Wolfgang

Couverture rigide

ISBN 10 : 1402015240 ISBN 13 : 9781402015243

Editeur : Springer-Verlag New York Inc., 2003

Synopsis

Book by Kapanadze D V Schulze BertWolfgang

A propos du livre

Présentation de l'éditeur :

The book studies boundary value problems connected with geometric singularities and models of the crack theory. New and interesting phenomena on the behaviour of solutions (regularity in weighted spaces, asymptotics) are analysed by means of parametrices obtained by inverting corresponding scalar and operator-valued symbols. Compared with other expositions in the field of crack theory and analysis on configurations with singularities the present book systematically develops for the first time an approach in terms of algebras of (pseudo-differential) boundary value problems. The calculus is decomposed into a number of simpler structures, namely boundary value problems (Chapter 1) and edge problems near the crack boundary (Chapter 4). Necessary tools on parameter-dependent cone operators (Chapter 2) and operators on spaces with conical exits to infinity (Chapter 3) are developed as theories of independent interest. The crack theory (Chapter 5) then appears as an application of the edge calculus.
The book is addressed to mathematicians and physicists interested in boundary value problems, geometric singularities, asymptotic analysis, as well as to specialists in the field of crack theory and other singular models.

À propos de cette édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2003
• ISBN 10: 1402015240
• ISBN 13: 9781402015243
• Reliure: Relié
• Nombre de pages: 485