A global solution for a reaction-diffusion equation on bounded domains
- Autores: Farhad Khellat, Mahmud Beyk Khormizi
- Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 1, 2018, págs. 15-22
- Idioma: inglés
- DOI: 10.21042/amns.2018.1.00002
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Resumen
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.
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