Strauss exponent for semilinear wave equations with scattering space dependent damping

DOI10.1016/j.jmaa.2020.124189zbMath1445.35251arXiv1905.09445OpenAlexW3021096513MaRDI QIDQ2183636

Ziheng Tu, Ning-An Lai

Publication date: 27 May 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09445

zbMATH Keywords

small initial datalifespanGlassey conjectureStrauss conjecture

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Wave equation (35L05) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Second-order semilinear hyperbolic equations (35L71)

Related Items (17)

Formation of singularities of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations ⋮ Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture ⋮ Blow-up for a coupled system of semilinear wave equations with scattering dampings and combined nonlinearities ⋮ Blow-up and lifespan estimates of solutions to semilinear Moore-Gibson-Thompson equations ⋮ On global existence for semilinear wave equations with space-dependent critical damping ⋮ Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions ⋮ Lifespan estimates of solutions to semilinear wave equations with damping term on the exterior domain ⋮ Lifespan estimates for semilinear wave equations with space dependent damping and potential ⋮ Lifespan estimates of solutions to quasilinear wave equations with damping and negative mass term ⋮ Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture ⋮ Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions. ⋮ Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime ⋮ Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains ⋮ Global existence for semilinear wave equations with scaling invariant damping in 3-D ⋮ On a strongly damped semilinear wave equation with time-varying source and singular dissipation ⋮ Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

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