Iterative Approximation for a Boundary Value Problem Arising for the Electrical Potential on a Cylindrical Double Layer
Author(s) -
Jürgen Appell,
Chur-Jen Chen,
Shiojenn Tseng,
Martin Väth
Publication year - 2008
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1355
Subject(s) - uniqueness , contraction principle , boundary value problem , mathematics , mathematical analysis , domain (mathematical analysis) , contraction mapping , contraction (grammar) , fixed point theorem , medicine
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.
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