\(L^{2}\)-estimates of solutions for damped wave equations with space-time dependent damping term
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Publication:1047685
DOI10.1016/j.jde.2009.09.022zbMath1184.35213OpenAlexW2037196872MaRDI QIDQ1047685
Kenji Nishihara, Jiayun Lin, Jian Zhai
Publication date: 5 January 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.09.022
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items (13)
Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator ⋮ Modulation space estimates for damped fractional wave equation ⋮ On asymptotic behavior of solution to a nonlinear wave equation with Space-time speed of propagation and damping terms ⋮ Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients ⋮ Decay property of solutions for damped wave equations with space-time dependent damping term ⋮ Weighted energy method for semilinear wave equations with time-dependent damping ⋮ Exponential stability of a transmission problem for wave equations with internal time‐varying delay and nonlinear degenerate weights ⋮ Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field ⋮ The diffusion phenomenon for damped wave equations with space-time dependent coefficients ⋮ Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data ⋮ Remark on the blow-up of solutions for the semilinear wave equation with overdamping term ⋮ Exponential decay of solutions for the plate equation with localized damping
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