A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations
DOI10.3934/eect.2023003zbMath1517.35066OpenAlexW4321505335MaRDI QIDQ6104916
Vladimir Georgiev, Kazumasa Fujiwara
Publication date: 15 June 2023
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2023003
Cauchy problemcritical exponentpower-type nonlinearitylifespan estimateclassical damped wave equations
Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (1)
Cites Work
- Lifespan of solutions to the damped wave equation with a critical nonlinearity
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
- Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations
- Theory of Besov spaces
- The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions
- Large time behavior of solutions for a nonlinear damped wave equation
- Characterizations of Besov-Hardy-Sobolev spaces: A unified approach
- Nonlinear scattering theory at low energy
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
- The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension.
- Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
- \(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping
- NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO
- Classical Fourier Analysis
- Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity
- A note on the lifespan of solutions to the semilinear damped wave equation
- Critical exponent for a nonlinear wave equation with damping
This page was built for publication: A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations
