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三维空间中带磁场项的非线性Schrdinger方程的爆破解

, PP. 719-725

Keywords: 非线性Schrdinger方程,爆破,磁场,柯西问题,强制变分问题

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Abstract:

研究三维空间中带磁场项的非线性Schrdinger方程,也称为带奇异积分算子的非线性Schrdinger方程的柯西问题.通过构造强制变分问题,克服了非线性奇异积分算子所带来的困难,得到当初值和初始能量满足一定条件时,所研究方程柯西问题的解在有限时间内爆破.

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