带调和势的非线性Schrdinger方程爆破解的L~2集中率

李晓光;张健;

数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 909-914.

中国科学院数学与系统科学研究院期刊网
数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 909-914. DOI: 10.12386/A2006sxxb0112
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带调和势的非线性Schrdinger方程爆破解的L~2集中率

    李晓光;张健;
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Rate of L~2 Concentration of Blow-up Solutions for Nonlinear Schrdinger Equation with Harmonic Potential

    Xiao Guang LIJian ZHANG
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摘要

本文讨论了带调和势的具有临界幂的非线性Schrodinger方程,得到其爆破解在t→T(爆破时间)的L2集中率．

Abstract

We consider the Cauchy problem for the critical nonlinear Schrodinger equation with a harmonic potential, and get the rate of L2-concentration of the radially symmetric blow-up solutions.

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爆破 / 非线性Schrdinger方程 / L2集中

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李晓光;张健;. 带调和势的非线性Schrdinger方程爆破解的L~2集中率. 数学学报, 2006, 49(4): 909-914 https://doi.org/10.12386/A2006sxxb0112
Xiao Guang LIJian ZHANG. Rate of L~2 Concentration of Blow-up Solutions for Nonlinear Schrdinger Equation with Harmonic Potential. Acta Mathematica Sinica, Chinese Series, 2006, 49(4): 909-914 https://doi.org/10.12386/A2006sxxb0112

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