Blow-up solutions for a nonlinear wave equation with boundary damping and interior source |
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| Authors: | Hongyinping Feng Shengjia Li |
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| Affiliation: | a School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, 030006, PR Chinab Research Institute of Mathematics and Applied Mathematics, Shanxi University, Taiyuan, Shanxi, 030006, PR Chinac Shanxi Police Academy, Taiyuan, Shanxi, 030021, PR China |
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| Abstract: | In this paper we consider the wave equation with nonlinear damping and source terms. We are interested in the interaction between the boundary damping −|yt(L,t)|m−1yt(L,t) and the interior source |y(t)|p−1y(t). We find a sufficient condition for obtaining the blow-up solution of the problem. Furthermore, we also obtain that the solution may blow up even if m≥p. |
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| Keywords: | Blow up Boundary damping Interior source Nonlinear wave equation |
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