A new proof of scattering for the 5D radial focusing Hartree equation
From MaRDI portal
Publication:5102265
DOI10.1080/00036811.2020.1859491zbMath1497.35437OpenAlexW3112271191MaRDI QIDQ5102265
Publication date: 6 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1859491
Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Nonlinear evolution equations (47J35)
Related Items (3)
Focusing nonlinear Hartree equation with inverse‐square potential ⋮ Scattering for three waves nonlinear Schrödinger system with mass-resonance in 5D ⋮ An asymptotic analysis and stability for a class of focusing Sobolev critical nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Dynamics for the focusing, energy-critical nonlinear Hartree equation
- Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\)
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- Global well-posedness and scattering for the defocusing \(H^{\frac 1 2}\)-subcritical Hartree equation in \(\mathbb R^d\)
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state
- Scattering for the focusing \(\dot H^{1/2}\)-critical Hartree equation in energy space
- Global well-posedness and scattering for the mass-critical Hartree equation with radial data
- Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
- The focusing energy-critical Hartree equation
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
- Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1
- Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$
- Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ1+n
- The dynamics of the 3D NLS with the convolution term
- Endpoint Strichartz estimates
- Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
- A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
This page was built for publication: A new proof of scattering for the 5D radial focusing Hartree equation