Low regularity solution of the initial-boundary-value problem for the ``good Boussinesq equation on the half line

DOI10.1007/S10114-010-7321-6zbMath1210.35196OpenAlexW2103521126MaRDI QIDQ627584

Ru Ying Xue

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7321-6

zbMATH Keywords

existenceBoussinesq equationinitial-boundary-value problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

A non-homogeneous boundary value problem of the sixth order Boussinesq equation in a quarter plane ⋮ Well-posedness and nonlinear smoothing for the ``good Boussinesq equation on the half-line ⋮ Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane ⋮ Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain ⋮ On the controllability of the Boussinesq equation in low regularity

Cites Work

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• Taylor series expansion for solutions of the Korteweg-de Vries equation with respect to their initial values
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Finite element Galerkin method for the “good” Boussinesq equation
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory

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