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- W2945603125 abstract "It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent, see Ikehata-Todorova-Yordanov cite{ITY}(the bottom in page 2) and Nishihara-Sobajima-Wakasugi cite{N2}(conjecture iii in page 4). In this work, we are devoted to showing the conjecture is true at least when the decay rate of the space dependent variable coefficients before the damping is larger than 2. Also, if the nonlinear term depends only on the derivative of the solution, we may prove the upper bound of the lifespan is the same as that of the solution of the corresponding problem without damping. This shows in another way the lqlq hyperbolicity of the equation." @default.
- W2945603125 created "2019-05-29" @default.
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- W2945603125 date "2019-05-22" @default.
- W2945603125 modified "2023-09-24" @default.
- W2945603125 title "Strauss exponent for semilinear wave equations with scattering space dependent damping" @default.
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- W2945603125 doi "https://doi.org/10.48550/arxiv.1905.09445" @default.
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