The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion
type: Item
instance of: scholarly article
title: The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion
zbMATH Open document ID: 1394.35137
author: JunFang Wang
author: Wei Yan
published in: Nonlinear Analysis. Real World Applications
publication date: 2018-06-21T00:00:00Z
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6892727
zbMATH Keywords: Strichartz estimates
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.03.002
OpenAlex ID: W2794806211
cites work: On the existence of stationary solitary waves in a rotating fluid
cites work: Q3694859
cites work: On the Surface Waves in a Shallow Channel with an Uneven Bottom
cites work: Approximate Analytical and Numerical Solutions of the Stationary Ostrovsky Equation
cites work: Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
cites work: Stability of Solitary Waves of a Generalized Ostrovsky Equation
cites work: Stability and weak rotation limit of solitary waves of the Ostrovsky equation
cites work: Stability of solitary waves and weak rotation limit for the Ostrovsky equation
cites work: On the stability of solitary waves for the Ostrovsky equation
cites work: Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation
cites work: On the stability of solitary waves of a generalized Ostrovsky equation
cites work: Solitary waves and fundamental solution for Ostrovsky equation
cites work: On the Cauchy Problem for the Ostrovsky Equation with Positive Dispersion
cites work: The global attractor of the damped forced Ostrovsky equation
cites work: Low regularity solution for a nonlocal perturbation of KdV equation
cites work: LOW-REGULARITY SOLUTIONS FOR THE OSTROVSKY EQUATION
cites work: Unique continuation principle for the Ostrovsky equation with negative dispersion
cites work: Cauchy problem for the Ostrovsky equation in spaces of low regularity
cites work: Global Cauchy problem for the Ostrovsky equation
cites work: Local well-posedness and quantitative ill-posedness for the Ostrovsky equation
cites work: On the support of solutions to the Ostrovsky equation with negative dispersion
cites work: On the support of solutions to the Ostrovsky equation with positive dispersion
cites work: Local and global well-posedness for the Ostrovsky equation
cites work: Sharp ill-posedness results for the KdV and mKdV equations on the torus
cites work: Cauchy problem for the Ostrovsky equation
cites work: Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces
cites work: Remarks on the Ostrovsky equation.
cites work: Well-posedness and weak rotation limit for the Ostrovsky equation
cites work: Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
cites work: Dispersive and diffusive limits for Ostrovsky-Hunter type equations
cites work: The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity
cites work: Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
cites work: Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
cites work: Global well-posedness of the KP-I initial-value problem in the energy space
cites work: Multilinear weighted convolution of \(L^2\) functions, and applications to nonlinear dispersive equations
cites work: Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
cites work: Self-spreading and strength of singularities for solutions to semilinear wave equations
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
cites work: Q4845450
cites work: The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
cites work: A bilinear estimate with applications to the KdV equation
cites work: Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
cites work: Periodic Korteweg-de Vries equation with measures as initial data
cites work: Remark on the local ill-posedness for KdV equation
Wikidata QID: Q130114451
DOI: 10.1016/J.NONRWA.2018.03.002
description: scientific article; zbMATH DE number 6892727