The paper studies boundary integral operators of the bi-Laplacian on piecewise smooth curves with corners and describes their mapping properties in the trace spaces of variational solutions of the biharmonic equation. We formulate a direct integral equation method for solving interior and exterior mixed boundary value problems on non-smooth plane domains, analyze the solvability of the corresponding systems of integral equations and prove their strong ellipticity.
Cite this article
Gunther Schmidt, Boundary Integral Operators for Plate Bending in Domains with Corners. Z. Anal. Anwend. 20 (2001), no. 1, pp. 131–154