GLOBAL UNIQUE EXISTENCE OF A POSITIVE SOLUTION FOR A SYSTEM OF EQUATIONS IN ELECTROCHEMISTRY

Authors
CHAE D IMANUVILOV OY
Citation
D. Chae et Oy. Imanuvilov, GLOBAL UNIQUE EXISTENCE OF A POSITIVE SOLUTION FOR A SYSTEM OF EQUATIONS IN ELECTROCHEMISTRY, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 507-524
Citations number
12
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
3
Pages
507 - 524
Database
ISI
SICI code
0308-2105(1998)128:<507:GUEOAP>2.0.ZU;2-9
Abstract
In this paper we prove global-in-time existence and uniqueness of a po sitive solution for the system of nonlinear partial differential equat ions arising from an electrochemistry model. The powers of nonlinearit y are allowed to be arbitrary positive integers, and our domain is any bounded subdomain of R-2 with a smooth boundary.