Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case

DOI10.1090/proc/14297zbMath1450.35174arXiv1708.08044OpenAlexW2975675791WikidataQ127211711 ScholiaQ127211711MaRDI QIDQ5206197

Masahiro Ikeda, Yuta Wakasugi

Publication date: 18 December 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08044

zbMATH Keywords

overdampingsmall data global well-posednessenergy-subcritical wave equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (16)

Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass ⋮ Strauss exponent for semilinear wave equations with scattering space dependent damping ⋮ Weighted energy method for semilinear wave equations with time-dependent damping ⋮ Lifespan estimates of solutions to semilinear wave equations with damping term on the exterior domain ⋮ Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping ⋮ Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain ⋮ Blow-up solutions to the semilinear wave equation with overdamping term ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field ⋮ 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 ⋮ Global existence for semilinear wave equations with scaling invariant damping in 3-D ⋮ The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation ⋮ Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping ⋮ Unconditional well-posedness for the energy-critical nonlinear damped wave equation

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