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Archive entry:

## Crack Theory and Edge Singularities (Mathematics and Its Applications) (2010) (?)

ISBN:

### 9789048163847 (?) or 9048163846

, in english, 516 pages, Springer, Paperback, Newpaperback, Ausgabe: Softcover reprint of hardcover 1st Ed. 2003, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 2010-12-06, Freigegeben: 2010-12-06, Studio: Springer

Keywords: Computer Mathematics, Fractals, Mathematical Modelling, Mathematics for Scientists & Engineers, Physics, Stochastics, Books, Science & Nature, Applied Mathematics, Calculus & Mathematical Analysis, Differential Equations, Functional Analysis, Infinite Series, Chaos, Coding & Cryptology, Recreational, Popular Science, Maths, Chaos & Fractal Theory, Cryptography, Finance & Economics, Fuzzy Set Theory, Game Theory, Linear Programming, Non-linear Science, Numerical Analysis, Optimisation, Scientific & Engineering Mathematics, Statistics & Probability, Scientific, Technical & Medical

Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Archive entry:

## Crack Theory and Edge Singularities (Mathematics and Its Applications (closed)) (?)

ISBN:

### 9789048163847 (?) or 9048163846

, unknown language, Paperback, Newpaperback. 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN.

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Keywords: BERT-WOLFGANG SCHULZE,D. V. KAPANADZE,MATHEMATICS

Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Archive entry:

## Crack Theory and Edge Singularities (?)

ISBN:

### 9789048163847 (?) or 9048163846

, unknown language, Springer Netherlands, Paperback, NewBoundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena are often connected with geometric singularities, for instance, in mechanics. Elliptic operators in corresponding models are then sin gular or degenerate in a typical way. The necessary structures for constructing solutions belong to a particularly beautiful and ambitious part of the analysis. Cracks in a medium are described by hypersurfaces with a boundary. Config urations of that kind belong to the category of spaces (manifolds) with geometric singularities, here with edges. In recent years the analysis on such (in general, stratified) spaces has become a mathematical structure theory with many deep relations with geometry, topology, and mathematical physics. Key words in this connection are operator algebras, index theory, quantisation, and asymptotic analysis. Motivated by Lame's system with two-sided boundary conditions on a crack we ask the structure of solutions in weighted edge Sobolov spaces and subspaces with discrete and continuous asymptotics. Answers are given for elliptic sys tems in general. We construct parametrices of corresponding edge boundary value problems and obtain elliptic regularity in the respective scales of weighted spaces. The original elliptic operators as well as their parametrices belong to a block matrix algebra of pseudo-differential edge problems with boundary and edge conditions, satisfying analogues of the Shapiro-Lopatinskij condition from standard boundary value problems. Operators are controlled by a hierarchy of principal symbols with interior, boundary, and edge components.2010. xxvii, 485 S. 1 SW-Abb.,. 235 mmVersandfertig in 3-5 Tagen, Softcover

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Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Archive entry:

## Crack Theory and Edge Singularities (Mathematics and Its Applications) (2010) (?)

ISBN:

### 9789048163847 (?) or 9048163846

, in english, 485 pages, Springer, Paperback, UsedBoundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena are often connected with geometric singularities, for instance, in mechanics. Elliptic operators in corresponding models are then sin gular or degenerate in a typical way. The necessary structures for constructing solutions belong to a particularly beautiful and ambitious part of the analysis. Cracks in a medium are described by hypersurfaces with a boundary. Config urations of that kind belong to the category of spaces (manifolds) with geometric singularities, here with edges. In recent years the analysis on such (in general, stratified) spaces has become a mathematical structure theory with many deep relations with geometry, topology, and mathematical physics. Key words in this connection are operator algebras, index theory, quantisation, and asymptotic analysis. Motivated by Lame's system with two-sided boundary conditions on a crack we ask the structure of solutions in weighted edge Sobolov spaces and subspaces with discrete and continuous asymptotics. Answers are given for elliptic sys tems in general. We construct parametrices of corresponding edge boundary value problems and obtain elliptic regularity in the respective scales of weighted spaces. The original elliptic operators as well as their parametrices belong to a block matrix algebra of pseudo-differential edge problems with boundary and edge conditions, satisfying analogues of the Shapiro-Lopatinskij condition from standard boundary value problems. Operators are controlled by a hierarchy of principal symbols with interior, boundary, and edge components. paperback, Ausgabe: Softcover reprint of hardcover 1st Ed. 2003, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 2010-12-06, Freigegeben: 2010-12-06, Studio: Springer

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Keywords: Books, Science & Math, Mathematics, Applied, Differential Equations, Mathematical Analysis, Pure Mathematics, Functional Analysis, Algebra & Trigonometry, Calculus, Geometry, Statistics, Specialty Boutique, New, Used & Rental Textbooks, Science & Mathematics

Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Data from 07/28/2014 17:40h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Archive entry:

## Crack Theory and Edge Singularities (Mathematics and Its Applications) (2010) (?)

ISBN:

### 9789048163847 (?) or 9048163846

, in english, 516 pages, Springer, UsedTapa blanda, Ausgabe: Softcover reprint of hardcover 1st Ed. 2003, Label: Springer, Springer, Produktgruppe: Libro, Publiziert: 2010-12-06, Freigegeben: 2010-12-06, Studio: Springer

Keywords: Libros en idiomas extranjeros, Ciencias, tecnología y medicina, Matemáticas, Cálculo, Matemáticas aplicadas, Teoría matemática

Data from 06/24/2015 06:17h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

Data from 06/24/2015 06:17h

ISBN (alternative notations): 90-481-6384-6, 978-90-481-6384-7

### 9789048163847

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Available rare books, used books and second hand books of the title "Crack Theory and Edge Singularities (Mathematics and Its Applications (closed))" from David Kapanadze Kapanadze, Collaboratore: B. -Wolfgang Schulze are completely listed.

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