Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma

DOI10.1016/j.jde.2020.08.020zbMath1450.35080arXiv2003.10578OpenAlexW3013597736WikidataQ124934911 ScholiaQ124934911MaRDI QIDQ2003971

Nico Michele Schiavone, Ning-An Lai, Hiroyuki Takamura

Publication date: 13 October 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10578

zbMATH Keywords

logarithmic improvements for the estimatesscale-invariant damping

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)

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