Mukarram A. Atakhodzhaev Atakhodzhaev Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation

Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation

von Mukarram A. Atakhodzhaev

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Beschreibung

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.


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Mukarram A. Atakhodzhaev

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Inverses Problem Partielle Differentialgleichung Randwertproblem Internal Boundary Value Problems Manifolds Domain Boundary Ill-posed Biharmonic Equation Cauchy Problem

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Details

ISBN: 9783110364149
Verlag: De Gruyter
Erscheinung: 01.03.2002

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