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- W2896401322 abstract "We consider the Cauchy problem for semilinear wave equations with variable coefficients and time-dependent scattering damping in Rn, where n≥2. It is expected that the critical exponent will be Strauss’ number p0(n), which is also the one for semilinear wave equations without damping terms. Lai and Takamura (2018) have obtained the blow-up part, together with the upper bound of lifespan, in the sub-critical case p<p0(n). In this paper, we extend their results to the critical case p=p0(n). The proof is based on Wakasa and Yordanov (0000), which concerns the blow-up and upper bound of lifespan for critical semilinear wave equations with variable coefficients." @default.
- W2896401322 created "2018-10-26" @default.
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- W2896401322 date "2019-03-01" @default.
- W2896401322 modified "2023-10-16" @default.
- W2896401322 title "On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case" @default.
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- W2896401322 doi "https://doi.org/10.1016/j.na.2018.09.012" @default.
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