Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains


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We study the smoothness of a generalized solution of the Dirichlet problem for the biharmonic equation in a two-dimensional domain. We introduce a weighted test function and derive an estimate for the absolute value of the solution in a neighborhood of an irregular boundary point.

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S. Chichoyan

Graduate School of Science at the Moscow University of Finance and Law MFUA

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俄罗斯联邦, Moscow

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