Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions

被引：0
|
作者：
Jiali Yu
Yadong Shang
Huafei Di
机构：
[1] Dalian Jiaotong University,School of Science
[2] Guangzhou University,School of Mathematics and Information Science
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
viscoelastic wave equation; Global nonexistence; Acoustic boundary conditions; 35L70; 35B40; 76EXX;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with a class of nonlinear viscoelastic wave equation with damping and source terms \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${u_{tt}} - \Delta u - \Delta {u_t} - \Delta {u_{tt}} + \int_0^t {g(t - s)\Delta u(s)ds + {u_t}{u_t}{^{m - 2}} = u|u|{^{p - 2}}} $\end{document}
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页码：155 / 169
页数：14
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