Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation |
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| Authors: | Liqing Lu Shengjia Li |
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| Affiliation: | 1. School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, PR China;2. Research Institute of Mathematics and Applied Mathematics, Shanxi University, Taiyuan, Shanxi 030006, PR China |
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| Abstract: | In this paper, we consider a strongly damped wave equation with fractional damping on part of its boundary and also with an internal source. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result with positive initial energy is established. |
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