Ill-posed internal boundary value problems for the biharmonic equation / M.A. Atakhodzhaev.

Format:

Book

Author/Creator:

Atakhodzhaev, M. A. (Mukarram Atakhodzhaevich), author.

Series:

Inverse and ill-posed problems series.

Inverse and ill-posed problems series, 1381-4524

Language:

English

Subjects (All):

Differential equations, Partial--Improperly posed problems.

Differential equations, Partial.

Boundary value problems.

Biharmonic equations.

Physical Description:

1 online resource (166 p.)

Edition:

Reprint 2014

Place of Publication:

Utrecht ; Boston : VSP, 2002.

Language Note:

English

Summary:

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.

Contents:

Front matter

Preface

Contents

Introduction

Chapter 1. The first internal boundary value problem

Chapter 2. The second internal boundary value problem

Chapter 3. The third internal boundary value problem

Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation

Chapter 5. Appendices

Bibliography

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

9783110944815

3110944812

OCLC:

1013949232