Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
Title Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II PDF eBook
Author Vladimir Maz'ya
Publisher Birkhäuser
Pages 323
Release 2011-11-22
Genre Mathematics
ISBN 9783034884334

Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II Book in PDF, Epub and Kindle

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

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
Title Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains PDF eBook
Author Vladimir Maz'ya
Publisher Birkhäuser
Pages 448
Release 2012-12-06
Genre Mathematics
ISBN 3034884346

Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Book in PDF, Epub and Kindle

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.

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
Title Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II PDF eBook
Author Vladimir Maz'ya
Publisher Birkhäuser
Pages 336
Release 2012-12-06
Genre Mathematics
ISBN 303488432X

Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II Book in PDF, Epub and Kindle

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

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
Title Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II PDF eBook
Author V. G. Mazʹi͡a︡
Publisher Springer Science & Business Media
Pages 362
Release 2000
Genre Boundary value problems
ISBN 9783764363987

Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II Book in PDF, Epub and Kindle

Singularly Perturbed Boundary Value Problems

Singularly Perturbed Boundary Value Problems
Title Singularly Perturbed Boundary Value Problems PDF eBook
Author Matteo Dalla Riva
Publisher Springer Nature
Pages 672
Release 2021-10-01
Genre Mathematics
ISBN 3030762599

Download Singularly Perturbed Boundary Value Problems Book in PDF, Epub and Kindle

This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
Title Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains PDF eBook
Author Vladimir Maz'ya
Publisher Birkhäuser
Pages 435
Release 2012-02-09
Genre Mathematics
ISBN 9783034884358

Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Book in PDF, Epub and Kindle

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.

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
Title Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains PDF eBook
Author Vladimir Maz'ya
Publisher Springer Science & Business Media
Pages 474
Release 2000-05-01
Genre Mathematics
ISBN 9783764363970

Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Book in PDF, Epub and Kindle

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.