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GLOBAL NONEXISTENCE FOR A VISCOELASTIC WAVE EQUATION WITH ACOUSTIC BOUNDARY CONDITIONS
【摘要】 This paper deals with a class of nonlinear viscoelastic wave equation with damping and source terms ■ with acoustic boundary conditions. Under some appropriate assumption on relaxation function g and the initial data, we prove that the solution blows up in finite time if the positive initial energy satisfies a suitable condition.
【Abstract】 This paper deals with a class of nonlinear viscoelastic wave equation with damping and source terms ■ with acoustic boundary conditions. Under some appropriate assumption on relaxation function g and the initial data, we prove that the solution blows up in finite time if the positive initial energy satisfies a suitable condition.
【关键词】 viscoelastic wave equation；
Global nonexistence；
Acoustic boundary conditions；
【Key words】 viscoelastic wave equation； Global nonexistence； Acoustic boundary conditions；
【Key words】 viscoelastic wave equation； Global nonexistence； Acoustic boundary conditions；
【基金】 supported by the NSF of China(11626070,11801108);the Scientific Program of Guangdong Provience(2016A030310262);the College Scientific Research Project of Guangzhou City(1201630180);the Program for the Innovation Research Grant for the Postgraduates of Guangzhou University(2017GDJC-D08)
- 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2020年01期
- 【分类号】O175.29
- 【被引频次】1
- 【下载频次】15