Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
DOI10.3934/dcds.2021097zbMath1483.35188arXiv2011.00999OpenAlexW3179790301MaRDI QIDQ2075106
Yongsheng Li, Wei Yan, Yimin Zhang, Jin-qiao Duan
Publication date: 14 February 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.00999
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Ill-posed problems for PDEs (35R25) General theory of rotating fluids (76U05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness for the KP-II equation on the background of a non-localized solution
- On the local regularity of the KP-I equation in anisotropic Sobolev space
- Global well-posedness of the KP-I initial-value problem in the energy space
- Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
- Local well posedness for modified Kadomstev-Petviashvili equations.
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
- Low regularity solutions for the Kadomtsev-Petviashvili I equation
- Global well-posedness for the Kadomtsev-Petviashvili II equation
- On the local and global well-posedness theory for the KP-I equation
- Global well-posedness for the KP-I equation
- Uniform decay estimates for a class of oscillatory integrals and applications
- Global well-posedness for the KP-I equation on the background of a non-localized solution
- Weighted low-regularity solutions of the KP-I initial-value problem
- LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
- Local well-posedness of KP-I initial value problem on torus in the Besov space
- Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation
- Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
- Solitary waves of the rotation-modified Kadomtsev–Petviashvili equation
- Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
- On the cauchy problem for kadomtsev-petviashvili equation
- Global well-posedness and scattering for small data for the three-dimensional Kadomtsev–Petviashvili II equation
- Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation
- Dispersive estimates for principally normal pseudodifferential operators
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
- Global low-regularity solutions for Kadomtsev-Petviashvili equation
- Well-posedness for the Kadomtsev-Petviashvili II equation
This page was built for publication: Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
