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二维空间中一类非线性Schrdinger方程爆破解的集中性质

Keywords: 非线性Schrdinger方程,爆破解,质量集中性质

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Abstract:

在二维空间中研究了一类非线性Schrdinger方程iut=-△u+V(x)u-k(t,x)|u|2u,建立了该方程的解在有限时间爆破的充分条件,并以此为基础进一步研究爆破解的极限图景,得到了爆破解的质量集中性质.

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