Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces

DOI10.1016/j.jmaa.2006.03.091zbMath1116.35047OpenAlexW2023856236MaRDI QIDQ860552

Hua Wang, Shang-bin Cui

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.091

zbMATH Keywords

anisotropic Bourgain spaceOstrowski equation

Mathematics Subject Classification ID

Related Items (12)

The Cauchy problem for the generalized Ostrovsky equation with negative dispersion ⋮ The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion ⋮ Solitary waves of a coupled KdV system with a weak rotation ⋮ Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion ⋮ On the solutions for an Ostrovsky type equation ⋮ Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity ⋮ Well-posedness of the Cauchy problem of Ostrovsky equation in analytic Gevrey spaces and time regularity ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion ⋮ 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 ⋮ Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space

Cites Work

• Local and global well-posedness for the Ostrovsky equation
• Global existence for 2D nonlinear Schrödinger equations via high --- low frequency decomposition method
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• On the existence of stationary solitary waves in a rotating fluid
• On the Cauchy problem for the Zakharov system
• Cauchy problem for the Ostrovsky equation
• Stability of solitary waves and weak rotation limit for the Ostrovsky equation
• Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
• On the Surface Waves in a Shallow Channel with an Uneven Bottom
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• Approximate Analytical and Numerical Solutions of the Stationary Ostrovsky Equation
• A bilinear estimate with applications to the KdV equation
• Analytical and numerical studies of weakly nonlocal solitary waves of the rotation-modified Korteweg-de Vries equation
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