一类在磁场中具有调和势的非线性Schr?dinger方程解整体存在和爆破的门槛条件被引量：1

Sharp Threshold of Global Existence and Blowup for the Nonlinear Schr dinger Equations with Harmonic Potential in Magnetic Field

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摘要研究在磁场中一类带调和势的非线性Schr?dinger方程.通过分析方程的性质,结合Gagliardo-Nirenberg不等式,得出在正能量情况下其解整体存在和爆破的门槛条件. In this paper,we discuss the nonlinear Schr dinger equations with harmonic potential in magnetic field.By analyzing the properties of the equations and combining the Gagliardo-Nirenberg inequality,we obtain the sharp threshold of global existence and blowup for the equations in positive energy case.

作者周凡黄娟李玉林 ZHOU Fan;HUANG Juan;LI Yulin(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan;Visual Computing and Virtual Reality Key Laboratory of Sichuan Province,Sichuan Normal University,Chengdu 610066,Sichuan)

机构地区四川师范大学数学科学学院四川师范大学可视化计算与虚拟现实四川省重点实验室

出处《四川师范大学学报（自然科学版）》 CAS 北大核心 2020年第4期458-462,共5页 Journal of Sichuan Normal University（Natural Science）

基金国家自然科学基金(11401409) 四川省科技计划项目(2018JY0486)。

关键词磁场调和势整体存在爆破门槛条件 magnetic field harmonic potential global existence blowup sharp threshold condition

分类号 O175.5 [理学—基础数学]

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参考文献2

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