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Global unique existence of a positive solution for a system of equations in electrochemistry*

Published online by Cambridge University Press:  14 November 2011

Dongho Chae  and
Oleg Yu. Imanuvilov
Dongho Chae
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151-742, Korea E-mail: dhchae@math.snu.ac.kr
Oleg Yu. Imanuvilov
Affiliation:
Korea Institute for Advanced Study, 207-43 Chungryangri-dong Dongdaemoonku, Seoul, Korea E-mail: oleg@cais.kaist.ac.kr
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Abstract

In this paper we prove global-in-time existence and uniqueness of a positive solution for the system of nonlinear partial differential equations arising from an electrochemistry model. The powers of nonlinearity are allowed to be arbitrary positive integers, and our domain is any bounded subdomain of ℝ2 with a smooth boundary.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 3 , 1998 , pp. 507 - 524
Copyright
Copyright © Royal Society of Edinburgh 1998

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