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带斯塔克势的非线性Schrdinger方程的爆破速率

The Blow-up Rate for Nonlinear Schrdinger Equation with Stark Potential
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摘要 研究带斯塔克势的非线性Schrdinger方程iut=-12△u+V(x)u-k|u|4nu,t≥0,x∈Rn,u(0,x)=φ(x)爆破解的爆破速率,得到爆破速率的上、下界估计. For the nonlinear Schroedinger equation with Stark potential iut=-1/Δu＋V（x）u-k｜u｜^（4/n）u,t≥0,x∈R^n,u（0,x）=φ（x） we get the estimate of the upper bound and lower bound of the blow-up rate.
作者 刘倩 周钰谦 张健
机构地区 西南民族大学计算机科学与技术学院 成都信息工程学院计算科学系 四川师范大学数学与软件科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2006年第6期668-671,共4页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金(10271084) 四川省杰出青年学科带头人基金资助项目
关键词 斯塔克势 非线性SCHROEDINGER方程 爆破解 爆破速率 Stark potential Nonlinear Schroedinger equation Blow-up solution Blow-up rate
分类号 O175.27 [理学—基础数学]
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参考文献10

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共引文献21

四川师范大学学报（自然科学版）
2006年 第6期

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