Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping
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Publication:2042456
DOI10.2969/ASPM/08510163zbMath1469.35057OpenAlexW3119068912MaRDI QIDQ2042456
Publication date: 20 July 2021
Full work available at URL: https://doi.org/10.2969/aspm/08510163
Strauss exponentGauss hypergeometric functionscritical and subcritical casesmall data blowupwave equation with a scaling invariant space or time-dependent damping
Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- 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
- Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
- On the asymptotic behavior of solutions of semi-linear wave equations
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- 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
- Optimal decay rate of the energy for wave equations with critical potential
- Finite time blow up for critical wave equations in high dimensions
- Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
- Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
- 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
- Life-Span of Solutions to Critical Semilinear Wave Equations
- Critical exponent for a nonlinear wave equation with damping
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