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Sharp lifespan estimates for Nakao's problem in one space dimension

Chen, Wenhui
arXiv (All) · Papers
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analysis-of-pdes
In this paper, we consider Nakao's problem in one space dimension, which couples a semilinear damped wave equation with a semilinear wave equation. For compactly supported energy data satisfying suitable integral sign conditions, we establish sharp lifespan estimates for all powers $p,q>1$. The esti
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