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

Jürgen Appell; Chur-Jen Chen; Shiojenn Tseng; Martin Väth

doi:10.4171/zaa/1355

JournalszaaVol. 27, No. 3pp. 283–300

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

Jürgen Appell
Universität Würzburg, Germany
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Chur-Jen Chen
Tunghai University, Taipei, Taiwan
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Shiojenn Tseng
Tamkang University, Taipei, Taiwan
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Martin Väth
Czech Academy of Sciences, Prague, Czech Republic
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- zbMATH Open

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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, Chur-Jen Chen, Shiojenn Tseng, 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