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Remarks on Blow-Up Phenomena in p-Laplacian Heat Equation with Inhomogeneous Nonlinearity
Journal article   Open access

Remarks on Blow-Up Phenomena in p-Laplacian Heat Equation with Inhomogeneous Nonlinearity

Eadah Ahma Alzahrani and Mohamed Majdoub
Journal of partial differential equations, Vol.34(1), pp.42-50
06/2021
DOI: https://doi.org/10.4208/jpde.v34.n1.3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We investigate the p-Laplace heat equation u(t)-Delta(p)u=zeta(t) f (u) in a bounded smooth domain. Using differential-inequality arguments, we prove blow-up results under suitable conditions on zeta, f, and the initial datum u(0). We also give an upper bound for the blow-up time in each case.
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https://doi.org/10.4208/jpde.v34.n1.3View
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