Decay estimates for dissipative wave equations in exterior domains
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Publication:1414215
DOI10.1016/S0022-247X(03)00489-XzbMath1032.35123OpenAlexW2091018235MaRDI QIDQ1414215
Publication date: 20 November 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00489-x
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)
Related Items (18)
\(L^1\) estimates for dissipative wave equations in exterior domains ⋮ Remarks on the asymptotic behavior of the solution to damped wave equations ⋮ The Generalized Diffusion Phenomenon and Applications ⋮ A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain ⋮ A blow-up result for a nonlinear damped wave equation in exterior domain: the critical case ⋮ Blow-up for semilinear wave equations with time-dependent damping in an exterior domain ⋮ On global existence for semilinear wave equations with space-dependent critical damping ⋮ Weighted energy method for semilinear wave equations with time-dependent damping ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ Diffusion phenomenon in Hilbert spaces and applications ⋮ Finite time blow-up for wave equations with strong damping in an exterior domain ⋮ The diffusion phenomenon for dissipative wave equations in metric measure spaces ⋮ The diffusion phenomenon for damped wave equations with space-time dependent coefficients ⋮ On \(L^1\) estimates for solutions of dissipative wave equations ⋮ Non-existence of weak solutions to nonlinear damped wave equations in exterior domains ⋮ Diffusion phenomenon for indirectly damped hyperbolic systems coupled by velocities in exterior domains ⋮ \(L^p\) decay problem for the dissipative wave equation in odd dimensions
Cites Work
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- On the asymptotic behavior of solutions of semi-linear wave equations
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- Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
- Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations
- On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
- L1 Decay estimates for dissipative wave equations
- 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
- Critical exponent for a nonlinear wave equation with damping
- \(L^p\) estimates for the linear wave equation and global existence for semilinear wave equations in exterior domains
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