2017
Том 69
№ 9

All Issues

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition

Öztürk E.


Abstract

We investigate the long-time behavior of the reaction-diffusion equation, which has a nonlinearity of polynomial growth of any order, with Robin boundary condition. Sufficient conditions are obtained for the solutions of the problem to be bounded or approaching infinity at a finite time.

Citation Example: Öztürk E. Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition // Ukr. Mat. Zh. - 2016. - 68, № 3. - pp. 423-432.