Książka Crack Theory and Edge Singularities D. V. Kapanadze

Crack Theory and Edge Singularities

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
428.07
The book studies boundary value problems connected with geometric singularities and models of the cr...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2010
strony
485
EAN
9789048163847
ISBN
9048163846
Enbook ID
01974748
Waga
783
Wymiary
160 x 240 x 26

Pełny opis

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.

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