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Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation
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Mukarram A. Atakhodzhaev
Language:
English
Published/Copyright:
2002
About this book
Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain.
This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability.
Topics
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Frontmatter
I -
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Preface
V -
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Contents
VII -
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Introduction
1 -
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Chapter 1. The first internal boundary value problem
3 -
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Chapter 2. The second internal boundary value problem
51 -
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Chapter 3. The third internal boundary value problem
123 -
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Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation
135 -
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Chapter 5. Appendices
147 -
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Bibliography
157
Publishing information
Pages and Images/Illustrations in book
eBook published on:
July 24, 2014
eBook ISBN:
9783110944815
Hardcover published on:
March 1, 2002
Hardcover ISBN:
9783110364149
Edition:
Reprint 2014
Pages and Images/Illustrations in book
Front matter:
8
Main content:
158
Keywords for this book
Internal Boundary Value Problems; Manifolds; Domain Boundary; Ill-posed; Biharmonic Equation; Cauchy Problem
Audience(s) for this book
Students, Researchers, and Lecturers in Mathematics and Mathematical Physics; Academic Libraries
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
