A global solution for a reaction-diffusion equation on bounded domains
oraz
03 paź 2018
O artykule
Data publikacji: 03 paź 2018
Zakres stron: 15 - 22
Otrzymano: 26 paź 2017
Przyjęty: 05 lut 2018
DOI: https://doi.org/10.21042/AMNS.2018.1.00002
Słowa kluczowe
© 2018 Farhad Khellat and Mahmud Beyk Khormizi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In the literature, it has been proved the existence of a pullback global attractor for reaction-diffusion equation on a bounded domain and under some conditions, a uniform bound on the dimension of its sections. Using those results and putting a bound on the diameter of the domain, we proved that the pullback global attractor consists only of one global solution. As an application to this result, a bounded perturbation of Chafee-Infante equation has been studied.