Global Cauchy problem for the Ostrovsky equation

DOI10.1016/j.na.2006.07.031zbMath1120.35079OpenAlexW2006217779MaRDI QIDQ885320

Pedro Isaza J., Jorge Mejía L.

Publication date: 8 June 2007

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.2006.07.031

zbMATH Keywords

global well-posednessOstrovsky equationBourgain spacesnonlinear long waves

Mathematics Subject Classification ID

Related Items (19)

The Cauchy problem for the generalized Ostrovsky equation with negative dispersion ⋮ Invariant measure of stochastic damped Ostrovsky equation driven by pure jump noise ⋮ 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 ⋮ Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity ⋮ 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 ⋮ Local well-posedness and quantitative ill-posedness for the Ostrovsky equation ⋮ The global attractor of the viscous damped forced Ostrovsky equation ⋮ Continuity properties of the solution map for the generalized reduced Ostrovsky equation ⋮ Well-posedness and weak rotation limit for the Ostrovsky equation ⋮ The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local and global well-posedness for the Ostrovsky equation
• Cauchy problem for the Ostrovsky equation in spaces of low regularity
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation
• The Cauchy Problem for the Kadomtsev-Petviashvili (KPII) Equation in Three Space Dimensions

This page was built for publication: Global Cauchy problem for the Ostrovsky equation