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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II: Volume II: 112 (Operator Theory: Advances and Applications, 112) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Product Description
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
Synopsis
Part of a two-volume work that introduces a general approach to the asymptotic analysis of elliptic boundary value problems in singularity perturbed domains, this volume treats singularities of the boundary in higher dimensions as well as nonlocal perturbations.
"About this title" may belong to another edition of this title.
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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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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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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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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II (Hardcover)
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Birkhauser Verlag AG, Basel, 2000
ISBN 10: 3764363983
ISBN 13: 9783764363987
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783764363987
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Vol.2
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Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2000, 2000
ISBN 10: 3764363983
ISBN 13: 9783764363987
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Buch. Condition: 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. Seller Inventory # 9783764363987
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
Published by
Birkhäuser Basel, Birkhäuser Basel Mai 2000, 2000
ISBN 10: 3764363983
ISBN 13: 9783764363987
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Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Buch. Condition: 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. Seller Inventory # 9783764363987
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II : Volume II
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Buch. Condition: 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. Seller Inventory # 9783764363987
Quantity: 1 available