Ill-posed internal boundary value problems for the biharmonic equation

zbMath1047.31003MaRDI QIDQ1411139

M. A. Atakhodzhaev

Publication date: 26 October 2003

Published in: Inverse and Ill-Posed Problems Series (Search for Journal in Brave)

zbMATH Keywords

Fredholm integral equationsregularizationapproximate solutionsabstract Cauchy problemcomplete solvabilityconditionally well-posedness

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items (4)

On polyharmonic interpolation ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Regularized solution of the Cauchy problem for the biharmonic equation ⋮ On an ill-posed problem for a biharmonic equation

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