Boundary integral operators for plate bending in domains with corners
- Schmidt, Gunther
2010 Mathematics Subject Classification
- 31A30 47G10 65N38
- biharmonic equation, plate bending, nonsmooth curve, boundary integral operators, boundary integral equations
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 mixed boundary value problems for the biharmonic equation on a nonsmooth plane domain, analyse the solvability of the corresponding systems of integral equations and prove their strong ellipticity.
- ZAA 20 (2001), No.1, pp.131-154.