Iterative Approximation for a Boundary Value Problem Arising for the Electrical Potential on a Cylindrical Double Layer

  • Jürgen Appell

    Universität Würzburg, Germany
  • SHIOJENN TSENG

    Tamkang University, Taipei, Taiwan
  • Chur-Jen Chen

    Tunghai University, Taipei, Taiwan
  • Martin Väth

    Czech Academy of Sciences, Prague, Czech Republic

Abstract

Building on Banach's contraction mapping principle, we give existence, uniqueness, and approximation theorems for a boundary value problem on an unbounded domain arising in the mathematical modelling of the electrical potential in a cylindrical double layer.

Cite this article

Jürgen Appell, SHIOJENN TSENG, Chur-Jen Chen, Martin Väth, Iterative Approximation for a Boundary Value Problem Arising for the Electrical Potential on a Cylindrical Double Layer. Z. Anal. Anwend. 27 (2008), no. 3, pp. 283–300

DOI 10.4171/ZAA/1355