On an ill-posed problem for a biharmonic equation

2017

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DOI 10.2298/fil1704051k
Data confidence 70 medium
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Abstract

A local boundary value problem for the biharmonic equation in a rectangular domain is considered. Boundary conditions are given on all boundary of the domain. We show that the considered problem is self-adjoint. Herewith the problem is ill-posed. We show that the stability of solution to the problem is disturbed. Necessary and sufficient conditions of existence of the problem solution are found.