Crack Theory and Edge Singularities / Najlacnejšie knihy
Crack Theory and Edge Singularities

Kód: 01974748

Crack Theory and Edge Singularities

Autor D. V. Kapanadze, Bert-Wolfgang Schulze

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 ... celý popis

139.29


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Viac informácií

Viac informácií o knihe Crack Theory and Edge Singularities

Nákupom získate 345 bodov

Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Applied mathematics

139.29

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