On the critical nonlinear damped wave equation with large initial data
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Publication:996920
DOI10.1016/j.jmaa.2007.01.021zbMath1195.35220OpenAlexW1971657246MaRDI QIDQ996920
Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina
Publication date: 19 July 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.021
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 (15)
Lifespan of solutions to the damped wave equation with a critical nonlinearity ⋮ The Generalized Diffusion Phenomenon and Applications ⋮ Decay property of solutions for damped wave equations with space-time dependent damping term ⋮ The Cauchy problem for the nonlinear damped wave equation with slowly decaying data ⋮ \(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data ⋮ A remark on triviality for the two-dimensional stochastic nonlinear wave equation ⋮ Diffusion phenomenon in Hilbert spaces and applications ⋮ Large time behavior of solutions for a nonlinear damped wave equation ⋮ Small data global existence for the semilinear wave equation with space-time dependent damping ⋮ Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data ⋮ Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation ⋮ On diffusion phenomena for the linear wave equation with space-dependent damping ⋮ Decay Properties for the Damped Wave Equation with Space Dependent Potential and Absorbed Semilinear Term ⋮ Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping ⋮ Asymptotic behaviors of solutions for time dependent damped wave equations
Cites Work
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- Damped wave equation in the subcritical case
- Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
- On the martingale problem for generators of stable processes with perturbations
- Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption
- Damped wave equation with super critical nonlinearities.
- Global existence and time decay of small solutions to the Landau-Ginzburg type equations
- Remarks on the large time behaviour of a nonlinear diffusion equation
- On the asymptotic behavior of solutions of semi-linear wave equations
- Wave breaking for nonlinear nonlocal shallow water equations
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
- Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations
- On some nonlinear dissipative equations with sub-critical nonlinearities
- Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
- \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
- On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
- Asymptotics for nonlinear damped wave equations with large initial data
- Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption
- Global asymptotics for the damped wave equation with absorption in higher dimensional space
- Asymptotics for the Korteweg-de Vries-Burgers equation
- ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- On nonexistence of global solutions of some semilinear parabolic differential equations
- Large time behavior of solutions of a dissipative semilnear heat equation
- Damped wave equation with a critical nonlinearity
- Critical exponent for a nonlinear wave equation with damping
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