ON THE GLOBAL EXISTENCE OF SOLUTIONS OF A REACTION-DIFFUSION EQUATIONWITH EXPONENTIAL NONLINEARITY

Authors
BARABANOVA A
Citation
A. Barabanova, ON THE GLOBAL EXISTENCE OF SOLUTIONS OF A REACTION-DIFFUSION EQUATIONWITH EXPONENTIAL NONLINEARITY, Proceedings of the American Mathematical Society, 122(3), 1994, pp. 827-831
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
3
Year of publication
1994
Pages
827 - 831
Database
ISI
SICI code
0002-9939(1994)122:3<827:OTGEOS>2.0.ZU;2-G
Abstract
We generalize the result of Haraux and Youkana concerning the global e xistence of nonnegative solutions of a reaction-diffusion equation wit h exponential nonlinearity. We also show the asymptotic behavior of th e global solutions as t --> infinity.