Analysis reveals the solvability criterion and properties of analytic continuation for biharmonic equation solutions in a defined domain.
The question of the solvability of the problem of analytic continuation of the solution of the biharmonic equation in a spatial domain is considered, based on the values of the solution itself and its partial derivatives up to the third order given on a part of the boundary of the domain.
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O. I. Makhmudov (2025) studied this question.
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