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Crack Theory and Edge Singularities

Name: Crack Theory and Edge Singularities
Brand: Springer Netherlands
SKU: 01415376
Price: 113.19 EUR
Availability: InStock
Author: David Kapanadze
ISBN: 9781402015243

David Kapanadze

B. W. Schulze

Lingua

Inglese

Libro Rigido

Codice Libristo: 01415376

Casa editrice Springer Netherlands, novembre 2002

The book studies boundary value problems connected with geometric singularities and models of the cr... Descrizione completa

Codice Libristo: 01415376

277 b

113.19 €

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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.