On the energy decay for dissipative nonlinear wave equations in one space dimension

DOI10.1016/J.JMAA.2017.06.015zbMath1375.35048OpenAlexW2623126807MaRDI QIDQ2014099

Borislav Yordanov, Kyouhei Wakasa

Publication date: 10 August 2017

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.2017.06.015

zbMATH Keywords

polynomial decay ratenonlinear dissipative wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Critical exponent for the semilinear wave equations with a damping increasing in the far field ⋮ Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain

Cites Work

• Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
• On the asymptotic behavior of solutions of semi-linear wave equations
• On energy decay-nondecay problems for wave equations with nonlinear dissipative term in \(\mathbb{R}^ N\)
• Decay of solutions of the wave equation with a local nonlinear dissipation
• \(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension
• The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$
• Asymptotics for the nonlinear dissipative wave equation
• Some non-linear evolution equations

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