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

Authors
Chae, DonghoImanuvilov, Oleg Yu
Issue Date
Mar-1998
Publisher
ROYAL SOC EDINBURGH
Citation
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v.128, no.3, pp 507 - 524
Pages
18
Journal Title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume
128
Number
3
Start Page
507
End Page
524
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/57102
DOI
10.1017/S0308210500021624
ISSN
0308-2105
1473-7124
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 R-2 with a smooth boundary.
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