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Crack Theory and Edge Singularities by D. V. Kapanadze, Bert-Wolfgang Schulze (Hardcover, 2003)

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Product Information

The text 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 and edge problems near the crack boundary. Necessary tools on parameter-dependent cone operators and operators on spaces with conical exits to infinity are developed as theories of independent interest. The crack theory 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.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781402015243
eBay Product ID (ePID)
95271097

Product Key Features

Author
D. V. Kapanadze, Bert-Wolfgang Schulze
Publication Name
Crack Theory and Edge Singularities
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2003
Type
Textbook
Number of Pages
485 Pages

Dimensions

Item Height
234mm
Item Width
156mm
Volume
561
Item Weight
1980g

Additional Product Features

Title_Author
D. V. Kapanadze, Bert-Wolfgang Schulze
Series Title
Mathematics and Its Applications
Country/Region of Manufacture
United States

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