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
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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.