Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains
S. F. Chichoyan · Differential Equations · 2016
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.