Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order

DOI10.1063/1.3677764zbMath1273.35094OpenAlexW2060087600MaRDI QIDQ2853624

Yu-Zhu Wang, Yin-Xia Wang

Publication date: 16 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3677764

zbMATH Keywords

decay of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear waves in solid mechanics (74J30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (10)

Decay estimate of solutions to the sixth order damped Boussinesq equation ⋮ Existence and asymptotic stability of time periodic solutions to the generalized double dispersion equation with periodic external force ⋮ Asymptotic profile of global solutions to the generalized double dispersion equation via the nonlinear term ⋮ Large-time behavior of solutions to the Rosenau equation with damped term ⋮ Large time behavior of solutions to the nonlinear pseudo-parabolic equation ⋮ Global existence and asymptotic behavior of solutions to the generalized damped Boussinesq equation ⋮ Decay estimate of solutions for a semi-linear wave equation ⋮ Asymptotic behavior of global solutions to the Boussinesq equation in multidimensions ⋮ Asymptotic profile of solutions to the double dispersion equation ⋮ Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces

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