| 带双势的非线性Schr dinger方程爆破解的L^2集中性质和L^2集中率 |
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| 引用本文： | 冷礼辉 张健. 带双势的非线性Schr dinger方程爆破解的L^2集中性质和L^2集中率[J]. 应用数学学报, 2007, 30(5): 800-809 |
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| 作者姓名： | 冷礼辉 张健 |
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| 作者单位： | 西华大学数学与计算机学院，四川师范大学数学与软件科学院 成都 610039，成都 610066 |
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| 基金项目： | 国家自然科学基金(10771151)，四川省杰出青年学科带头人基金资助项目． |
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| 摘 要： | 本文研究一类带双势的具有临界幂的非线性Schrodinger方程的初值问题.得到该方程爆破解的L2集中性质并在此基础上得到其爆破解为径向对称情形的L2集中速率.
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| 关 键 词： | 非线性Schrodinger方程 双势 爆破解 L2集中性质 L2集中速率 |
| 修稿时间： | 2005-05-25 |
L^2 Concentration and the Rate of L^2 Concentration of Blow-up Solutions for the Nonlinear Schr dinger Equation with Double Potentials |
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| LENG LIHUI,ZHANG JIAN. L^2 Concentration and the Rate of L^2 Concentration of Blow-up Solutions for the Nonlinear Schr dinger Equation with Double Potentials[J]. Acta Mathematicae Applicatae Sinica, 2007, 30(5): 800-809 |
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| Authors: | LENG LIHUI ZHANG JIAN |
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| Affiliation: | 1.School of Mathematics and Computer Science, Xihua University, Chengdu 610039;2.School of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066 |
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| Abstract: | This paper investigates the blow-up solutions for the nonlinear Schrodinger equation with double potentials. L2 concentration and the rate of of L2 concentration of blow-up solutions are established. |
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| Keywords: | nonlinear Schrodingerequation double potentials blow-up solutions L2 concentration properties rate of L2 concentration. |
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