Blow up of Solutions of a Nonlinear Viscoelastic Wave Equation |
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| Authors: | Jung Ae Kim Ying Hao Han |
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| Institution: | 1.Department of Mathematical Sciences,KAIST,Yuseong-gu,South Korea;2.Department of Mathematics,Liaoning Normal University,Dalian,People’s Republic of China |
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| Abstract: | We consider a nonlinear viscoelastic wave equation with nonlinear source term. Under suitable conditions on g, it is proved that any weak solution with negative initial energy blows up in finite time if p>2. |
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