EXISTENCE AND NONEXISTENCE OF SOLUTIONS OF THE REACTION-DIFFUSION EQUATION WITH ROBIN BOUNDARY CONDITION
UKRAINIAN MATHEMATICAL JOURNAL, vol.68, no.3, pp.475-484, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 68 Issue: 3
- Publication Date: 2016
- Doi Number: 10.1007/s11253-016-1235-0
- Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.475-484
- Hacettepe University Affiliated: Yes
Abstract
We study the long-time behavior of the reaction-diffusion equation with a nonlinearity of polynomial growth of any order and with Robin boundary condition. Sufficient conditions are obtained for the solutions of the problem to be bounded or approaching infinity for a finite time.