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方程iu t =-Δu-k(x)|u| 4/N u 爆破解的L 2 集中性质

, PP. 134-137

Keywords: 非线性Schr¨odinger方程,爆破,爆破点,L2集中

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Abstract:

讨论了一类非线性Schr¨odinger方程iut=-Δu-k(x)|u|4/Nu的初值问题,其中k(x)为RN上的有界可微函数,得到其爆破解在t→T(爆破时间)的几个重要性质在L2空间中强极限的不存在性,爆破点以及L2集中性质.

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