On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:262

Article

Steinbach, O ; Wendland, WL

关键词: boundary integral equations;    Neumann series;   

DOI  :  10.1006/jmaa.2001.7615

来源: Elsevier

【 摘 要 】

In this paper we investigate the convergence of Carl Neumann's method for the solution of Dirichlet or Neumann boundary values for second-order elliptic problems in domains with non-smooth boundaries. We prove that 1/2I + K, where K is the double-layer potential, is a contraction in H-1/2(Gamma) when an energy norm is used that is induced by the inverse of the single-layer potential. (C) 2001 Academic Press.

【 授权许可】

Free