Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions

DOI10.1002/mma.6733zbMath1469.35037OpenAlexW3043976239MaRDI QIDQ5003813

Ti-Jun Xiao, Jun-Ren Luo

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6733

zbMATH Keywords

semilinear wave equationNeumann boundary conditionnonlinear sourceoptimal decay rateslow solutiontime-dependent frictional dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping ⋮ Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping ⋮ Optimal convergence rates for damped inertial gradient dynamics with flat geometries

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