Article ID Journal Published Year Pages File Type
4626064 Applied Mathematics and Computation 2016 8 Pages PDF
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.

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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
Exponential growth with Lp-norm of solutions for nonlinear heat equations with viscoelastic term
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