Global existence and lifespan for semilinear wave equations with mixed nonlinear terms

DOI10.1016/J.JDE.2019.04.007zbMath1433.35193arXiv1810.10232OpenAlexW2896384597WikidataQ128072961 ScholiaQ128072961MaRDI QIDQ2420517

Yanyan Li

Publication date: 6 June 2019

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

Full work available at URL: https://arxiv.org/abs/1810.10232

zbMATH Keywords

Strauss conjecturegeneralized Strichartz estimateglassey conjectureKleinerman-Sobolev inequalities

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (11)

Global existence and blow up for systems of nonlinear wave equations related to the weak null condition ⋮ Lifespan estimates of solutions to quasilinear wave equations with damping and negative mass term ⋮ The combined effect in one space dimension beyond the general theory for nonlinear wave equations ⋮ Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain ⋮ Blow-up and lifespan estimate for the generalized Tricomi equation with mixed nonlinearities ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions. ⋮ Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms ⋮ Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities ⋮ Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity ⋮ Blow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifolds ⋮ Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

Cites Work

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