A scale of critical exponents for semilinear waves with time-dependent damping and mass terms
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Publication:1633676
DOI10.1016/j.na.2018.08.006zbMath1415.35039OpenAlexW2892221214MaRDI QIDQ1633676
Michael Reissig, Marcello D'Abbicco, Giovanni Girardi
Publication date: 20 December 2018
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11586/223550
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items (7)
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass ⋮ Decay estimates for a Klein-Gordon model with time-periodic coefficients ⋮ Unnamed Item ⋮ A note on \(L^p - L^q\) estimates for semilinear critical dissipative Klein-Gordon equations ⋮ Small Data Solutions for Semilinear Waves with Time-Dependent Damping and Mass Terms ⋮ Equipartition of energy for nonautonomous damped wave equations ⋮ Global well-posedness for effectively damped wave models with nonlinear memory
Cites Work
- NLWE with a special scale invariant damping in odd space dimension
- 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
- Small data solutions for semilinear wave equations with effective damping
- A shift in the strauss exponent for semilinear wave equations with a not effective damping
- Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
- Wave equations with time-dependent dissipation. II: Effective dissipation
- Nonlinear scattering theory at low energy
- On the asymptotic behavior of solutions of semi-linear wave equations
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
- 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
- Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
- Wave equations with mass and dissipation
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Asymptotics for Damped Evolution Operators with Mass-like Terms
- Weighted Strichartz estimates and global existence for semilinear wave equations
- The threshold of effective damping for semilinear wave equations
- Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation
- A classification of structural dissipations for evolution operators
- A modified test function method for damped waves
- Critical exponent for a nonlinear wave equation with damping
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