UKRAINIAN MATHEMATICAL JOURNAL, vol.68, no.3, pp.475-484, 2016 (Peer-Reviewed Journal)
Article / Article
UKRAINIAN MATHEMATICAL JOURNAL
Science Citation Index Expanded, Scopus
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.