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February 6, 2018Applied Mathematics and Nonlinear SciencesOpen Access

A global solution for a reaction-diffusion equation on bounded domains

Farhad Khellat Mahmud Beyk Khormizi

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Abstract

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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Cite This Study

Khellat et al. (2018) studied this question.

synapsesocial.com/papers/6a9b2546fb75abedfffcf08d https://doi.org/10.21042/amns.2018.1.00002

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