Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
Maz'ya, Vladimir; Nazarov, Sergey A.; Plamenevskij, B. A.
ISBN 10: 303489564X ISBN 13: 9783034895644
Published by Springer Basel, 2012
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Translator(s): Plamenevskij, B. A. Series: Operator Theory: Advances and Applications. Num Pages: 346 pages, biography. BIC Classification: PBKA. Category: (P) Professional & Vocational. Dimension: 254 x 178 x 18. Weight in Grams: 669. . 2012. Softcover reprint of the original 1st ed. 2000. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9783034895644
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.
"About this title" may belong to another edition of this title.
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Title: Asymptotic Theory of Elliptic Boundary Value...
Publisher: Springer Basel
Publication Date: 2012
Binding: Soft cover
Condition: New
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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Paperback. Condition: new. Paperback. 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 # 9783034895644
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Taschenbuch. 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 # 9783034895644
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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ISBN 10: 303489564X
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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 # 9783034895644
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
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Taschenbuch. 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 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 352 pp. Englisch. Seller Inventory # 9783034895644
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II (Operator Theory: Advances and Applications)
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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II (Paperback)
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Paperback. Condition: new. Paperback. 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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9783034895644
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