吉首大学学报（自然科学版）2016，Vol.37Issue(3)：4-9,13,7.DOI:10.3969/j.cnki.jdxb.2016.03.002
一类带调和势具非齐次项的非线性Schrödinger方程
Inhomogeneous Nonlinear Schrödinger Equation with Harmonic Potential
摘要
Abstract
The inhomogeneous nonlinear Schrödinger equation with harmonic potential is discussed.By es-tablishing the corresponding energy function and the variational structure and through applying the po-tential well argument,the concave function and the improved Gagliardo-Nirenberg interpolation in-equation,the optimum conditions for the global solution and explosive solution for the Cauchy problem are obtained.In addition,the initial value for the existence of global solution is determined.关键词
非齐次项/非线性Schrödinger方程/整体解/爆破解/最佳条件Key words
inhomogeneous/nonlinear Schrödinger equation/global solution/explosive solution/optimum conditions分类
数理科学引用本文复制引用
佘朝兵,何小飞,谌凤霞..一类带调和势具非齐次项的非线性Schrödinger方程[J].吉首大学学报（自然科学版）,2016,37(3):4-9,13,7.基金项目
吉首大学张家界学院科研资助项目 （）
