Email this article Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains
- Authors: Chichoyan S.F.1
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Affiliations:
- Graduate School of Science at the Moscow University of Finance and Law MFUA
- Issue: Vol 52, No 2 (2016)
- Pages: 260-264
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/153680
- DOI: https://doi.org/10.1134/S0012266116020129
- ID: 153680
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Abstract
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.
About the authors
S. F. Chichoyan
Graduate School of Science at the Moscow University of Finance and Law MFUA
Author for correspondence.
Email: sargisch61@gmail.com
Russian Federation, Moscow
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