Local well-posedness and quantitative ill-posedness for the Ostrovsky equation

DOI10.1016/J.NA.2008.03.010zbMath1170.35510OpenAlexW2080640274MaRDI QIDQ1004628

Jorge Mejía L., Pedro Isaza J.

Publication date: 11 March 2009

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.2008.03.010

zbMATH Keywords

nonlinear dispersive equationslocal solutionsOstrovsky equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (15)

The Cauchy problem for the generalized Ostrovsky equation with negative dispersion ⋮ Invariant measure of stochastic damped Ostrovsky equation driven by pure jump noise ⋮ Convergence problem of Ostrovsky equation with rough data and random data ⋮ On the support of solutions to the Ostrovsky equation with negative dispersion ⋮ 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 ⋮ Unique continuation principle for the Ostrovsky equation with negative dispersion ⋮ On the solutions for an Ostrovsky type equation ⋮ On uniqueness properties of solutions of the Ostrovsky equation with positive dispersion ⋮ A note on the Ostrovsky equation in weighted Sobolev spaces ⋮ On the support of solutions to the Ostrovsky equation with positive dispersion ⋮ White noise driven Ostrovsky equation ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion ⋮ Ergodicity of stochastic damped Ostrovsky equation driven by white noise ⋮ The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity

Cites Work

• Unnamed Item
• Local and global well-posedness for the Ostrovsky equation
• Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
• Cauchy problem for the Ostrovsky equation in spaces of low regularity
• Global Cauchy problem for the Ostrovsky equation
• Periodic Korteweg-de Vries equation with measures as initial data
• Low regularity solutions for the Kadomtsev-Petviashvili I equation
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
• A bilinear estimate with applications to the KdV equation
• The Cauchy Problem for the Kadomtsev-Petviashvili (KPII) Equation in Three Space Dimensions
• On the Cauchy Problem for the Ostrovsky Equation with Positive Dispersion

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