Exponential growth with L^p-norm of solutions for nonlinear heat equations with viscoelastic term

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• 作者：Le Xuan Truong ; ^a ; ^{lxuantruong@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Nguyen Van Y^b ; ^{nguyenvanyhv@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Exponential growth ; Viscoelastic ; Relaxation function
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：273
• 期：Complete
• 页码：656-663
• 全文大小：274 K

文摘

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