Asymptotics of the Solution of a Boundary Integral Equation Under a Small Perturbation of a Corner

  • Vladimir G. Maz'ya

    Linköping University, Sweden
  • Ralf Mahnke

    Universität Rostock, Germany

Abstract

The boundary integral equation of the Dirichlet problem is considered in a plane domain with a smooth boundary which is a small perturbation of a contour with an angular point. The asymptotics of the solution are given with respect to a perturbation parameter . The problem studied in this article serves as an example of the use of a general method which is also applicable to the three-dimensional case, to the Neumann problem and to problems of hydrostatics and elasticity.

Cite this article

Vladimir G. Maz'ya, Ralf Mahnke, Asymptotics of the Solution of a Boundary Integral Equation Under a Small Perturbation of a Corner. Z. Anal. Anwend. 11 (1992), no. 2, pp. 173–182

DOI 10.4171/ZAA/615