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2010, ISBN: 9789048155453

[ED: Softcover], [PU: Springer Netherlands], To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains. … Meer...

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Wave Factorization of Elliptic Symbols: Theory and Applications: Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains V. Vasil'
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ISBN: 9789048155453

To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains. The elements of such a theory already exist i… Meer...

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ISBN: 9789048155453

To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains. The elements of such a theory already exist i… Meer...

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Wave Factorization of Elliptic Symbols: Theory and Applications - pocketboek

2010, ISBN: 9789048155453

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[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-sm… Meer...

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Wave Factorization of Elliptic Symbols: Theory and Applications - pocketboek

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

This monograph is devoted to the development of a new approach to studying elliptic differential and integro-differential (pseudodifferential) 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.Audience: This volume will be of interest to mathematicians, engineers, and physicists whose work involves partial differential equations, integral equations, operator theory, elasticity and viscoelasticity, and electromagnetic theory. It can also be recommended as a text for graduate and postgraduate students for courses in singular integral and pseudodifferential equations.

Gedetalleerde informatie over het boek. - Wave Factorization of Elliptic Symbols: Theory and Applications: Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains V. Vasil'


EAN (ISBN-13): 9789048155453
ISBN (ISBN-10): 9048155452
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer Netherlands Core >1 >T
188 Bladzijden
Gewicht: 0,293 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-10-04T18:00:12+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-05-17T10:03:48+02:00 (Amsterdam)
ISBN/EAN: 9789048155453

ISBN - alternatieve schrijfwijzen:
90-481-5545-2, 978-90-481-5545-3


Gegevens van de uitgever

Auteur: V. Vasil'ev
Titel: Wave Factorization of Elliptic Symbols: Theory and Applications - Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains
Uitgeverij: Springer; Springer Netherland
176 Bladzijden
Verschijningsjaar: 2010-12-04
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,295 kg
Taal: Engels
90,94 € (DE)
93,49 € (AT)
100,50 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Boundary value problem; Distribution; Fourier transform; Operator theory; Potential; Singular integral; partial differential equation; partial differential equations; B; Partial Differential Equations; Functional Analysis; Analysis; Integral Equations; Operator Theory; Classical Mechanics; Differential Equations; Functional Analysis; Analysis; Integral Equations; Operator Theory; Classical Mechanics; Mathematics and Statistics; Funktionalanalysis und Abwandlungen; Mathematische Analysis, allgemein; Integralrechnung und -gleichungen; Funktionalanalysis und Abwandlungen; Klassische Mechanik; BB

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.

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