Abstract
We prove that a necessary and sufficient condition for the existence of a classical solution of the inhomogeneous biharmonic equation in a bounded plane domain is the requirement of stronger continuity of the function on the right-hand side in the equation.
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Translated by V. Potapchouck
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Grishanina, G.E., Mukhamadiev, E.M. Necessary and Sufficient Condition for the Existence of a Classical Solution of the Inhomogeneous Biharmonic Equation. Diff Equat 57, 304–316 (2021). https://doi.org/10.1134/S0012266121030046
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DOI: https://doi.org/10.1134/S0012266121030046