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Esteban, M.J. and Lions, P. (1989) Stationary Solutions of Nonlinear Schrödinger Equations with an External Magnetic Field. In: Colombini, F., Marino, A., Modica, L. and Spagnolo, S., Eds., Partial Differential Equations and the Calculus of Variations, Birkhäuser, 401-449.

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