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

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摘要

In this work, we study an initial boundary value problem related to the nonlinear viscoelastic equation We show the exponential growth of solutions with Lp-norm for negative or positive initial energy.

论文关键词:Exponential growth,Viscoelastic,Relaxation function

论文评审过程:Received 18 May 2015, Revised 4 October 2015, Accepted 6 October 2015, Available online 12 November 2015, Version of Record 12 November 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.10.017