JournalszaaVol. 20, No. 1pp. 131–154

Boundary Integral Operators for Plate Bending in Domains with Corners

  • Gunther Schmidt

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Boundary Integral Operators for Plate Bending in Domains with Corners cover

Abstract

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

DOI 10.4171/ZAA/1007