EXISTENCE AND NONEXISTENCE OF SOLUTIONS OF THE REACTION-DIFFUSION EQUATION WITH ROBIN BOUNDARY CONDITION
UKRAINIAN MATHEMATICAL JOURNAL, cilt.68, sa.3, ss.475-484, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 68 Sayı: 3
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s11253-016-1235-0
- Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.475-484
- Hacettepe Üniversitesi Adresli: Evet
Özet
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.