In this paper we study the boundary reduction of the biharmonic interior and exterior Dirichlet problems in a plane domain with piecewise smooth boundary.The mapping properties of single and double layer biharmonic potentials, of biharmonic boundary integral operators, the Calderon projections and Poincaré-Steklov operators for domain with corners are analyzed.We derive existence and uniqueness results for direct boundary integral equations, which are equivalent to the variational formulation of the problems.
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Schmidt et al. (1999) studied this question.
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