WIAS Preprint No. 129, (1994)
Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains
Authors
- Khoromskij, Boris N.
- Schmidt, Gunther
2010 Mathematics Subject Classification
- 31A30 47G10 65N38
Keywords
- biharmonic equation, nonsmooth curve, boundary integral operators, boundary integral equations
DOI
Abstract
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 biharmonic potentials, of the Calderon projections and the Poincaré-Steklov operators for such domains are analysed. We derive direct boundary integral equations equivalent to the variational formulation of the problem.
Appeared in
- J. Integral Equations Appl., 11 (1999), No. 2, pp. 217-253.
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