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• W2319319158 abstract "We consider the Cauchy problem for the semilinear wave equation withtime-dependent damping$$ left{ begin{array}{ll} u_{tt} - Delta u + b(t)u_t=|u|^{rho}, & (t,x) in mathbb{R}^+ times mathbb{R}^N (u,u_t)(0,x) = (u_0,u_1)(x), & x in mathbb{R}^N. end{array}right. (*)$$When $b(t)=b_0(t+1)^{-beta}$ with $b_0>0$ and $-1 0,(i=0,1)$, we show that thetime-global solution of ($*$) does not exist provided that $134 (2011), 327-343]provided that $0 le beta333 (2001), 109--114]." @default.
• W2319319158 created "2016-06-24" @default.
• W2319319158 creator A5059837626 @default.
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• W2319319158 date "2012-08-01" @default.
• W2319319158 modified "2023-10-16" @default.
• W2319319158 title "Critical exponent for the semilinear wave equation with time-dependent damping" @default.
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• W2319319158 doi "https://doi.org/10.3934/dcds.2012.32.4307" @default.
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