Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data

DOI10.3934/DCDS.2017084zbMath1368.35253OpenAlexW2579584154MaRDI QIDQ525567

Zhiyong Wang, Yanfang Gao

Publication date: 5 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017084

zbMATH Keywords

minimal massmass-critical Hartree equationnon-scattering

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Soliton solutions (35C08)

Related Items (1)

Existence and finite time blow-up for nonlinear Schrödinger equations in the Bopp-Podolsky electrodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\)
• On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
• 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
• On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation
• The cubic nonlinear Schrödinger equation in two dimensions with radial data
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Smoothing properties and retarded estimates for some dispersive evolution equations
• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• On the point-particle (Newtonian) limit of the nonlinear Hartree equation
• The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
• The focusing energy-critical Hartree equation
• The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
• Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
• On the blow up phenomenon of the critical nonlinear Schrödinger equation
• Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ¹⁺ⁿ
• Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
• The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Endpoint Strichartz estimates
• Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS
• Instability of solitons for the critical generalized Korteweg-de Vries equation

This page was built for publication: Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data