Boundary Integral Equations for the Biharmonic Dirichlet Problem on Nonsmooth Domains
نویسندگان
چکیده
In this paper we study boundary integral formulations of the interior and exterior Dirichlet problem for the bi{Laplacian in a plane domain with a piecewise smooth boundary having corner points. The mapping properties of single and double layer bihar-monic potentials, of the Calderon projections and the Poincar e-Steklov operators for such domains are analysed. We derive direct boundary integral equations equivalent to the vari-ational formulation of the problem.
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