The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity

DOI10.1016/j.jde.2015.03.007zbMath1331.35092arXiv1411.0890OpenAlexW2964257888MaRDI QIDQ2344806

Yongsheng Li, Wei Yan, Jian Hua Huang

Publication date: 18 May 2015

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

Full work available at URL: https://arxiv.org/abs/1411.0890

zbMATH Keywords

critical regularitydyadic bilinear estimates

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (9)

Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data ⋮ The Cauchy problem for the generalized Ostrovsky equation with negative dispersion ⋮ Convergence problem of Ostrovsky equation with rough data and random data ⋮ The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion ⋮ Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion ⋮ Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation ⋮ On the solutions for an Ostrovsky type equation ⋮ A note on the Ostrovsky equation in weighted Sobolev spaces ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion

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