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Zeitschrift für Analysis und ihre Anwendungen


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Volume 27, Issue 3, 2008, pp. 283–300
DOI: 10.4171/ZAA/1355

Published online: 2008-09-30

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

Jürgen Appell[1], Chur-Jen Chen[2], SHIOJENN TSENG[3] and Martin Väth[4]

(1) Universität Würzburg, Germany
(2) Tunghai University, Taipei, Taiwan
(3) Tamkang University, Taipei, Taiwan
(4) Czech Academy of Sciences, Prague, Czech Republic

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.

Keywords: Poisson–Boltzmann equation, electric potential distribution, modified Bessel functions, weighted function spaces, contraction mapping principle

Appell Jürgen, Chen Chur-Jen, TSENG SHIOJENN, Väth Martin: Iterative Approximation for a Boundary Value Problem Arising for the Electrical Potential on a Cylindrical Double Layer. Z. Anal. Anwend. 27 (2008), 283-300. doi: 10.4171/ZAA/1355