Wave Factorization of Elliptic Symbols: Theory and Applications: Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains - Rilegato

Vasil'Ev, V.

Rilegato

ISBN 10: 0792365313 ISBN 13: 9780792365310

Casa editrice: Springer-Verlag GmbH, 2000

Riassunto

This monograph is devoted to the development of a new approach to studying elliptic differential and integro-differential (pseudo-differential) equations and their boundary problems in non-smooth domains. This approach is based on a special representation of symbols of elliptic operators called wave factorization. In canonical domains, for example, the angle on a plane or a wedge in space, this yields a general solution, and then leads to the statement of a boundary problem. Wave factorization has also been used to obtain explicit formulas for solving some problems in diffraction and elasticity theory.

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Contenuti

Preface. 1. Distributions and their Fourier transforms. 2. Multidimensional complex analysis. 3. Sobolev-Slobodetskii spaces. 4. Pseudodifferential operators and equations in half-space. 5. Wave factorization. 6. Diffraction on a quadrant. 7. The problem of indentation of a wedge-shaped punch. 8. Equations in an infinite plane angle. 9. General boundary value problems. 10. The Laplacian in a plane infinite angle. 11. Problems with potentials. Appendix 1: The multidimensional Riemann problem. Appendix 2: Symbolic calculus, Noether property, index, regularization. Appendix 3: The Mellin transform. References. Index.

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0792365313
• ISBN 13: 9780792365310
• Rilegatura: Copertina rigida
• Numero di pagine: 192
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania