Ill-posed internal boundary value problems for the biharmonic equation

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in,...

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Bibliographic Details
Main Author: Atakhodzhaev, M. A. (Mukarram Atakhodzhaevich)
Format: eBook Book
Language:English
Published: Utrecht ; Tokyo VSP 2002
Walter de Gruyter GmbH
Edition:1
Subjects:
Biharmonic equations
Boundary value problems
Differential equations, Partial
Improperly posed problems
ISBN:9067643653, 9789067643658, 311036414X, 9783110364149
Online Access:Get full text
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Table of Contents:
  • Intro -- Introduction -- Chapter 1. The first internal boundary value problem -- 1.1. An example of nonuniqueness -- 1.2. The first internal boundary value problem in a disk -- 1.3. The first internal boundary value problem in a half-strip -- 1.4. The first internal boundary value problem in the half-plane -- 1.5. The first internal boundary value problem in rectangles -- 1.6. The first internal boundary value problem for star-like domains -- Chapter 2. The second internal boundary value problem -- 2.1. The second internal boundary value problem in a convex domain -- 2.2. The second internal boundary value problem in the half-plane -- 2.3. The second internal boundary value problem in a rectangle -- Chapter 3. The third internal boundary value problem -- 3.1. IBVP 3 in a convex domain -- 3.2. IBVP 3 in a rectangle -- Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation -- 4.1. Internal boundary value problems -- 4.2. The Cauchy problem -- Chapter 5. Appendices -- 5.1. Appendix A -- 5.2. Appendix B -- 5.3. Appendix C -- Bibliography