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Book Synopsis
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.

Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation

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    A Hardback by Mukarram A. Atakhodzhaev

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      View other formats and editions of Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation by Mukarram A. Atakhodzhaev

      Publisher: De Gruyter
      Publication Date: Publication Date: 01/03/2002
      ISBN13: 9783110364149, 978-3110364149
      ISBN10:

      Description

      Book Synopsis
      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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