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Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations
Journal article   Open access  Peer reviewed

Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations

Sarra Toualbia, Abderrahmane Zarai, Salah Boulaaras and 2 Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Buraydah, Kingdom of Saudi Arabia
AIMS mathematics, Vol.5(3), pp.1663-1679
01/01/2020
DOI: https://doi.org/10.3934/math.2020112

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up and non-extinction of solutions under some conditions, and the results extend the results of a recent paper Lijun Yan and Zuodong Yang (2018).
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https://doi.org/10.3934/math.2020112View
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