On the Cauchy problem for the generalized shallow water wave equation

DOI10.1016/j.jde.2008.07.006zbMath1154.35074OpenAlexW2077337564MaRDI QIDQ947141

Guilong Gui, Yue Liu, Lixin Tian

Publication date: 29 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.07.006

zbMATH Keywords

Cauchy problemlocal well-posednessgeneralized shallow water wave equation

Mathematics Subject Classification ID

Related Items (10)

Well-posedness and ill-posedness for a fifth-order shallow water wave equation ⋮ Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index ⋮ Low-regularity solutions of the periodic general Degasperis-Procesi equation ⋮ Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity ⋮ Sharp local well-posedness for a fifth-order shallow water wave equation ⋮ Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems ⋮ Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space ⋮ Boundary control of viscosity Degasperis-Procesi equation ⋮ Local well-posedness of the fifth-order KdV-type equations on the half-line ⋮ Global well posedness and limit behavior of the solutions to the viscous Degasperis–Procesi equation

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