Bounds for blow-up time in a semilinear parabolic problem with variable exponents

Abita Rahmoune, Benyattou Benabderrahmane

Abstract


This report deals with a blow-up of the solutions to a class of semilinear
parabolic equations with variable exponents nonlinearities. Under some
appropriate assumptions on the given data, more general lower bounds for a
blow-up time are gained if the solutions blow up. This result extends a
recent results by Baghaei Khadijeh et al. \cite{Baghaei}, which confirms the
Lower bounds for the blow-up time of solutions with initial data $\varphi
\left( 0\right) =\int_{\Omega }u_{0}^{k}dx$, $k$=constant.


Keywords


Parabolic equation; Variable nonlinearity; Bounds of the blow-up time.

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2022.1.13

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