On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case
From MaRDI portal
Publication:2633304
DOI10.1016/j.na.2018.09.012zbMath1418.35047arXiv1807.06164OpenAlexW2896401322WikidataQ129083978 ScholiaQ129083978MaRDI QIDQ2633304
Kyouhei Wakasa, Borislav Yordanov
Publication date: 8 May 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06164
Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass ⋮ Lifespan estimates of solutions to quasilinear wave equations with scattering damping ⋮ Blow-up for a coupled system of semilinear wave equations with scattering dampings and combined nonlinearities ⋮ A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type ⋮ Strauss exponent for semilinear wave equations with scattering space dependent damping ⋮ The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds ⋮ Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques ⋮ Lifespan estimates of solutions to semilinear wave equations with damping term on the exterior domain ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case ⋮ 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 \(\ast\) ⋮ Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms ⋮ Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma ⋮ Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities ⋮ Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime ⋮ Global existence for semilinear damped wave equations in relation with the Strauss conjecture ⋮ Global existence for semilinear wave equations with scaling invariant damping in 3-D ⋮ Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping ⋮ 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
Cites Work
- Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients
- Semi-linear wave equations with effective damping
- Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012
- A shift in the strauss exponent for semilinear wave equations with a not effective damping
- Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations
- Global regularity for supercritical nonlinear dissipative wave equations in 3D
- Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
- Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- Nonlinear scattering theory at low energy
- Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
- Critical exponent for the semilinear wave equation with time-dependent damping
- Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
- A blow-up result for a nonlinear wave equation with damping: The critical case
- The threshold of effective damping for semilinear wave equations
- Critical exponent for a nonlinear wave equation with damping