Periodic boundary value problem and Cauchy problem of the generalized cubic double dispersion equation

DOI10.1016/S0252-9602(08)60060-0zbMath1174.35070MaRDI QIDQ1003974

Guowang Chen, Hongxia Xue

Publication date: 6 March 2009

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemglobal solutionexistence and uniquenessgeneralized cubic double dispersion equation

Mathematics Subject Classification ID

Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (11)

Pointwise estimates of global small solutions to the generalized double dispersion 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 ⋮ Asymptotic profile of solutions to the linearized double dispersion equation on the half space \(\mathbb{R}^{n}_+\) ⋮ Decay estimate of global solutions to the generalized double dispersion model in Morrey spaces ⋮ A global attractor for the elastic waveguide model in \(\mathbb R^N\) ⋮ Global attractor for the generalized double dispersion equation ⋮ Asymptotic profile of solutions to the double dispersion equation ⋮ Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation ⋮ Exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition ⋮ 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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