Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices
DOI10.1016/J.JDE.2023.01.046OpenAlexW3011803478MaRDI QIDQ2694255
Min Jie Shan, Bao Xiang Wang, Li-Qun Zhang
Publication date: 28 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07515
global well-posednessZakharov-Kuznetsov equationresonant decompositionLoomis-Whitney inequalitybilinear Strichartz estimate
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Resonance in context of PDEs (35B34) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local well-posedness for the Zakharov system on the multidimensional torus
- Resonant decomposition and the \(I\)-method for the two-dimensional Zakharov system
- The Fourier restriction norm method for the Zakharov-Kuznetsov equation
- Improvement of the energy method for strongly nonresonant dispersive equations and applications
- Convolutions of singular measures and applications to the Zakharov system
- On the global well-posedness of the Benjamin-Ono equation
- Nonlocal models for nonlinear, dispersive waves
- Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\)
- A convolution estimate for two-dimensional hypersurfaces
- 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
- On the Cauchy problem for the Zakharov system
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- Multilinear estimates for periodic KdV equations, and applications
- Global well-posedness and global attractor for two-dimensional Zakharov-Kuznetsov equation
- Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D
- Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications
- A remark on normal forms and the ``I-method for periodic NLS
- A nonlinear generalisation of the Loomis-Whitney inequality and applications
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations
- The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
- Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation
- On the 2D Zakharov system withL2Schrödinger data
- Nonlinear ion-acoustic waves in weak magnetic fields
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- Well-Posedness for the Two-Dimensional Zakharov-Kuznetsov Equation
- Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
- An inequality related to the isoperimetric inequality
This page was built for publication: Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices
