Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
Vladimir Maz'ya,Serguei Nazarov
ISBN 10: 3764363983 ISBN 13: 9783764363987
Verlag: Birkhäuser, 2000
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For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, this second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations.
At the core of this book are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years.
Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics.
To a large extent the book is based on the authors’ work and has no significant overlap with other books on the theory of elliptic boundary value problems.
Reseña del editor:
For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
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Titel: Asymptotic Theory of Elliptic Boundary Value...
Verlag: Birkhäuser
Erscheinungsdatum: 2000
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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Buch. Zustand: Neu. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II | Volume II | Vladimir Maz'ya (u. a.) | Buch | xxiii | Englisch | 2000 | Birkhäuser Basel | EAN 9783764363987 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 107138877
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II: Volume II (Operator Theory: Advances and Applications, 112)
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, this second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations.At the core of this book are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years. Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics.To a large extent the book is based on the authors' work and has no significant overlap with other books on the theory of elliptic boundary value problems. Bestandsnummer des Verkäufers 9783764363987
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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Birkhäuser Basel, Birkhäuser Basel Mai 2000, 2000
ISBN 10: 3764363983
ISBN 13: 9783764363987
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Buch. Zustand: Neu. Neuware -For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, this second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations.At the core of this book are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years.Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics.To a large extent the book is based on the authors¿ work and has no significant overlap with other books on the theory of elliptic boundary value problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 352 pp. Englisch. Bestandsnummer des Verkäufers 9783764363987
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Vol.2
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ISBN 10: 3764363983
ISBN 13: 9783764363987
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. While the first volume is devoted to perturbations of the boundary near isolated singular points, this second volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations.At the core of this book are solutions of elliptic boundary value problems by asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. In particular, it treats the important special cases of thin domains, domains with small cavities, inclusions or ligaments, rounded corners and edges, and problems with rapid oscillations of the boundary or the coefficients of the differential operator. The methods presented here capitalize on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years. Moreover, a study on the homogenization of differential and difference equations on periodic grids and lattices is given. Much attention is paid to concrete problems in mathematical physics, particularly elasticity theory and electrostatics.To a large extent the book is based on the authors' work and has no significant overlap with other books on the theory of elliptic boundary value problems. 323 pp. Englisch. Bestandsnummer des Verkäufers 9783764363987
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