Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term

DOI10.1007/978-3-030-10937-0_8zbMath1428.35227arXiv1804.11073OpenAlexW2799169628MaRDI QIDQ2330768

Hiroyuki Takamura, Ning-An Lai, Nico Michele Schiavone

Publication date: 23 October 2019

Full work available at URL: https://arxiv.org/abs/1804.11073

zbMATH Keywords

lifespan estimatessubcritical power

Mathematics Subject Classification ID

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

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Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass ⋮ Blow-up and lifespan estimates of solutions to semilinear Moore-Gibson-Thompson equations ⋮ Lifespan estimates of solutions to quasilinear wave equations with damping and negative mass term ⋮ Lifespan estimates of solutions for a coupled system of wave equations with damping terms and negative mass terms \(\ast\) ⋮ Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass ⋮ Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma

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