Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839867 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 13 Pages |
Abstract
In this paper, we investigate the long-time behavior and solvability of the reaction–diffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition. We begin this paper with the existence and uniqueness of the solution to the problem. For the long-time behavior, we firstly prove the existence of an absorbing set in two different spaces. Secondly, for the autonomous case, the existence of a global attractor is obtained in W21(Ω)∩Lρ+2(Ω).
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Authors
Eylem Öztürk, Kamal N. Soltanov,