Existence and scattering of small solutions to a Boussinesq type equation of sixth order

DOI10.1016/j.na.2010.04.028zbMath1195.35229OpenAlexW2038546268MaRDI QIDQ984071

Suxia Xia, Jia Yuan

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.028

zbMATH Keywords

dispersive estimateLittlewood-Paley dyadic decomposition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order semilinear hyperbolic equations (35L76)

Related Items (9)

Dispersive estimates and asymptotic behavior for a generalized Boussinesq-type equation ⋮ Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping ⋮ \(Q\)-symmetry and conditional \(Q\)-symmetries for Boussinesq equation ⋮ Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping ⋮ Cauchy problem for a higher order generalized Boussinesq-type equation with hydrodynamical damped term ⋮ Global well-posedness for strongly damped multidimensional generalized Boussinesq equations ⋮ On the wave operator for the generalized Boussinesq equation ⋮ Global existence and asymptotic behavior of solution for the sixth order Boussinesq equation with damped term ⋮ Global existence and blowup of solutions for the multidimensional sixth-order ``good Boussinesq equation

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