Article citationsMore>>

Feng, B. (2016) Sharp Threshold of Global Existence and Instability of Standing Wave for the Schrödinger-Hartree Equation with a Harmonic Potential. Nonlinear Analysis: Real World Applications, 31, 132-145.
https://doi.org/10.1016/j.nonrwa.2016.01.012

has been cited by the following article:

• TITLE: Global Existence and Finite Time Blow-Up for the Nonlinear Schrödinger Hartree Equation with a Constant Magnetic Field

  AUTHORS: Fangli Zhou

  KEYWORDS: Nonlinear Schrödinger Hartree Equation, Global Existence, Finite-Time Blow-Up

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.4, March 30, 2026

  ABSTRACT: The paper addresses the global existence and finite-time blow-up phenomena for the nonlinear Schrödinger Hartree equation in the presence of a constant magnetic field, which is given by: i ∂ t ψ+ ( ∇+iA ) 2 ψ−( | x | −1 ∗ | ψ | 2 )ψ+ | ψ | p ψ=0 , ( t,x )∈ ℝ + × ℝ 3 . This equation is considered in three-dimensional space. Under mass-critical and supercritical conditions, we determine the precise thresholds for global existence and finite-time blow-up in the L 2 -supercritical regime, specifically for the range 4 3