Exponential growth with Lp-norm of solutions for nonlinear heat equations with viscoelastic term

Le Xuan Truong and Nguyen Van Y

Applied Mathematics and Computation, 2016, vol. 273, issue C, 656-663

Abstract: In this work, we study an initial boundary value problem related to the nonlinear viscoelastic equation (1+a|u|q−2)ut−Δu+∫0tg(t−s)Δu(s)ds=b|u|p−2u.We show the exponential growth of solutions with Lp-norm for negative or positive initial energy.

Keywords: Exponential growth; Viscoelastic; Relaxation function (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:656-663

DOI: 10.1016/j.amc.2015.10.017

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