The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension.
From MaRDI portal
Publication:2280470
zbMath1463.35358arXiv1810.03780MaRDI QIDQ2280470
Masakazu Kato, Kyouhei Wakasa, Hiroyuki Takamura
Publication date: 18 December 2019
Published in: Differential and Integral Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.03780
Related Items
Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions ⋮ Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques ⋮ A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term ⋮ The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights ⋮ Semilinear wave equations of derivative type with spatial weights in one space dimension ⋮ Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case ⋮ Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma ⋮ Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity ⋮ The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension ⋮ The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions ⋮ Blow-up of solution to semilinear wave equations with strong damping and scattering damping