Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation

Mukarram A. Atakhodzhaev (Autor)

Buch | Hardcover

166 Seiten

2002
VSP International Science Publishers (Verlag)
9789067643658 (ISBN)

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This monograph in the "Inverse and Ill-Posed Problems Series" studies three essentially ill-posed internally boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively.

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.

Introduction
The first internal boundary value problem
An example of nonuniqueness
The first internal boundary value problem in a disk
The first internal boundary value problem in a half-strip
The first internal boundary value problem in the half-plane
The first internal boundary value problem in rectangles
The first internal boundary value problem for star-like domains
The second internal boundary value problem
The second internal boundary value problem in a convex domain
The second internal boundary value problem in the half-plane
The second internal boundary value problem in a rectangle
The third internal boundary value problem
IBVP 3 in a convex domain
IBVP 3 in a rectangle
Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation
Internal boundary value problems
The Cauchy problem
Appendices
Bibliography

Reihe/Serie	Inverse and Ill-Posed Problems Series
Verlagsort	Zeist
Sprache	englisch
Gewicht	410 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
ISBN-13	9789067643658 / 9789067643658
Zustand	Neuware