Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2001-03-31
Boundary Integral Operators for Plate Bending in Domains with CornersGunther Schmidt (1) Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
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.
Keywords: Biharmonic equation, plate bending, non-smooth curves, boundary integral operators, boundary integral equations
Schmidt Gunther: Boundary Integral Operators for Plate Bending in Domains with Corners. Z. Anal. Anwend. 20 (2001), 131-154. doi: 10.4171/ZAA/1007