Convergence problem of the generalized Kadomtsev-Petviashvili II equation in anisotropic Sobolev space
From MaRDI portal
Publication:6552620
DOI10.1007/s00030-024-00949-0zbMath1541.35076MaRDI QIDQ6552620
Wei Yan, Mei-Hua Yang, Hao-yuan Xu, Qiaoqiao Zhang
Publication date: 10 June 2024
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
uniform convergencepointwise convergencebilinear estimatesStrichartz estimatesgeneralized Kadomtsev-Petviashvili II equation
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large time asymptotics for the Kadomtsev-Petviashvili equation
- A note on the Schrödinger maximal function
- Coherence on fractals versus pointwise convergence for the Schrödinger equation
- Global well-posedness for the fifth order Kadomtsev-Petviashvili II equation in three dimensional space
- Global well-posedness of the KP-I initial-value problem in the energy space
- Sharp estimates for maximal operators associated to the wave equation
- 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.
- On KP-II type equations on cylinders
- Regularity of solutions to the Schrödinger equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- The Cauchy problem for higher-order KP equations
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- The Cauchy problem for the fifth order KP equations
- The Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) in Sobolev spaces \(H^s\), \(s>0\).
- Uniform decay estimates for a class of oscillatory integrals and applications
- A local well-posed result for the fifth order KP-II initial value problem
- Global well-posedness for the fifth-order Kadomtsev-Petviashvili II equation in anisotropic Gevrey spaces
- Convergence problem of the Kawahara equation on the real line
- Maximal estimates for Schrödinger equations with inverse-square potential
- Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- On the Schrödinger maximal function in higher dimension
- Cauchy problem for the fifth order Kadomtsev-Petviashvili (KPII) equation
- A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation
- LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
- A note on pointwise convergence for the Schrödinger equation
- Convergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random data
- Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation
- Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
- Global well-posedness and scattering for small data for the three-dimensional Kadomtsev–Petviashvili II equation
- Pointwise Convergence of the Schrödinger Flow
- The Cauchy problem for the L2–critical generalized Zakharov-Kuznetsov equation in dimension 3
- Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation
- Pointwise Convergence of Solutions to the Schrödinger Equation on Manifolds
- The Cauchy Problem for the Kadomtsev-Petviashvili (KPII) Equation in Three Space Dimensions
- Maximal estimates for solutions to the nonelliptic Schrödinger equation
- Well-posedness for the Kadomtsev-Petviashvili II equation
This page was built for publication: Convergence problem of the generalized Kadomtsev-Petviashvili II equation in anisotropic Sobolev space