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portada Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation (Inverse and Ill-Posed Problems)
Type
Physical Book
Publisher
Year
2002
Language
English
Pages
158
Format
Hardcover
ISBN13
9783110364149
Edition No.
1

Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation (Inverse and Ill-Posed Problems)

Mukarram A. Atakhodzhaev (Author) · De Gruyter · Hardcover

Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation (Inverse and Ill-Posed Problems) - Mukarram A. Atakhodzhaev

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Synopsis "Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation (Inverse and Ill-Posed Problems)"

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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