Energy-critical Hartree equation with harmonic potential for radial data

DOI10.1016/j.na.2009.11.026zbMath1187.35193OpenAlexW2093606342MaRDI QIDQ847333

Haigen Wu, Jun Yong Zhang

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.026

zbMATH Keywords

harmonic potentialscattering theorydecay estimateHartree equationGalilean operator

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Quantum scattering theory (81U99) Nonlinear evolution equations (47J35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Nonlinear scattering with nonlocal interaction
• Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On a class of non linear Schrödinger equations with non local interactions
• Scattering in the energy space and below for 3D NLS
• Energy scattering for Hartree equations
• Remarks on nonlinear Schrödinger equations with harmonic potential
• The focusing energy-critical Hartree equation
• Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
• Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrö\-dinger equation for radial data
• Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ¹⁺ⁿ
• Energy-Critical NLS with Quadratic Potentials
• Harmonic analysis of the de Rham complex on the sphere.
• Endpoint Strichartz estimates
• H m -modified wave operator for nonlinear Hartree equation in space of dimensionn≥2
• Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications
• Global wellposedness and scattering for 3D energy critical Schrödinger equation with repulsive potential and radial data
• Decay and scattering of solutions of a nonlinear relativistic wave equation