Global existence of solutions for a weakly coupled system of semilinear damped wave equations
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Publication:2355426
DOI10.1016/j.jde.2015.05.014zbMath1327.35238OpenAlexW396261005MaRDI QIDQ2355426
Yuta Wakasugi, Kenji Nishihara
Publication date: 23 July 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2015.05.014
Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (10)
Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator ⋮ Critical curve for a weakly coupled system of semilinear \(\sigma\)-evolution equations with frictional damping ⋮ The Cauchy problem for the nonlinear damped wave equation with slowly decaying data ⋮ Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part ⋮ Multiplicity results of periodic solutions for a coupled system of wave equations ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Periodic solutions to Klein-Gordon systems with linear couplings ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance ⋮ Lifespan of solutions for a weakly coupled system of semilinear heat equations
Cites Work
- Unnamed Item
- Unnamed Item
- Global solutions to the Cauchy problem for a system of damped wave equations.
- Asymptotic behavior of solutions for a system of semilinear heat equations and the corresponding damped wave system
- Global existence of solutions for a reaction-diffusion system.
- Global existence of solutions for a system of nonlinear damped wave equations.
- Large time behavior of solutions for a system of nonlinear damped wave equations
- Damped wave equation with super critical nonlinearities.
- Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
- Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
- Boundedness and blow up for a semilinear reaction-diffusion system
- On the asymptotic behavior of solutions of semi-linear wave equations
- Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Blow-up and large time behavior of solutions of a weakly coupled system of reaction-diffusion equations.
- An optimal estimate for the difference of solutions of two abstract evolution equations.
- Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
- Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
- Diffusion phenomenon for linear dissipative wave equations in an exterior domain
- Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
- 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
- The role of critical exponents in blow-up theorems: The sequel
- Asymptotic profiles to the solutions for a nonlinear damped wave equation.
- Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
- Critical exponent for the Cauchy problem to the weakly coupled damped wave system
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Existence and Nonexistence of Global Solutions in Time for a Reaction-Diffusion System with Inhomogeneous Terms
- Diffusion phenomenon for second order linear evolution equations
- Global existence and blow-up for a completely coupled Fujita type system
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- Decay Properties for the Damped Wave Equation with Space Dependent Potential and Absorbed Semilinear Term
- A note on the lifespan of solutions to the semilinear damped wave equation
- On the diffusion phenomenon of quasilinear hyperbolic waves
- Critical exponent for a nonlinear wave equation with damping
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