Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass
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Publication:2119790
DOI10.3934/eect.2021011zbMath1491.35067arXiv1904.09574OpenAlexW3135196381MaRDI QIDQ2119790
Kyouhei Wakasa, Ziheng Tu, Masahiro Ikeda
Publication date: 30 March 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09574
Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (3)
The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds ⋮ Lifespan estimates of solutions to quasilinear wave equations with damping and negative mass term ⋮ Blow-up of solution to semilinear wave equations with strong damping and scattering damping
Cites Work
- Unnamed Item
- 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
- The sharp estimate of the lifespan for semilinear wave equation with time-dependent damping.
- Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- Wave equations with time-dependent dissipation. II: Effective dissipation
- Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
- A scale of critical exponents for semilinear waves with time-dependent damping and mass terms
- Blow-up of solutions to critical semilinear wave equations with variable coefficients
- 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
- Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity
- Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping
- Global existence for semilinear damped wave equations in relation with the Strauss conjecture
- Life-span of semilinear wave equations with scale-invariant damping: critical Strauss exponent case.
- Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
- Finite time blow up for critical wave equations in high dimensions
- On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Semi-linear wave equations
- Solution representations for a wave equation with weak dissipation
- Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping
- Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case
- Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity
- The threshold of effective damping for semilinear wave equations
- Ordinary Differential Equations
- Critical exponent for a nonlinear wave equation with damping
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