Large time behavior of solutions for a nonlinear damped wave equation
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Publication:905411
zbMath1353.35069MaRDI QIDQ905411
Publication date: 19 January 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
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 quasilinear hyperbolic equations (35L72)
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Cites Work
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- Global solutions to the Cauchy problem for a system of damped wave equations.
- Refined asymptotic profiles for a semilinear heat equation
- Asymptotic behavior of solutions for a system of semilinear heat equations and the corresponding damped wave 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
- Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption
- Higher order energy decay rates for damped wave equations with variable coefficients
- Damped wave equation with super critical nonlinearities.
- Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
- \(C^m\)-theory of damped wave equations with stabilisation
- On the critical nonlinear damped wave equation with large initial data
- Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
- Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
- Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
- Existence and non-existence of global solutions for a semilinear heat equation
- On the asymptotic behavior of solutions of semi-linear wave equations
- Scaling variables and asymptotic expansions in damped wave equations
- Existence of global solutions to the Cauchy problem for the semilinear dissipative wave 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
- 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
- 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
- Asymptotic profiles to the solutions for a nonlinear damped wave equation.
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Higher-order expansion of solutions for a damped wave equation
- Blow-Up Estimates for a Nonlinear Hyperbolic Heat Equation
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- On nonexistence of global solutions of some semilinear parabolic differential equations
- ASYMPTOTIC EXPANSION FOR DAMPED WAVE EQUATIONS WITH PERIODIC COEFFICIENTS
- Damped wave equation with a critical nonlinearity
- Decay rates for solutions of damped systems and generalized Fourier transforms.
- Critical exponent for a nonlinear wave equation with damping
