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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… Click to show full 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.
Keywords:
ill posed;
problem biharmonic;
biharmonic equation;
posed problem;
problem
Journal Title: Filomat
Year Published: 2017
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Journal Title: Filomat
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!