EXISTENCE AND NONEXISTENCE OF SOLUTIONS OF THE REACTION-DIFFUSION EQUATION WITH ROBIN BOUNDARY CONDITION

ÖZTÜRK E. , KALLI K.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.68, ss.475-484, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 68 Konu: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s11253-016-1235-0
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.475-484

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.