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Low regularity blowup solutions for the mass-critical nonlinear Schr\"odinger equations
发布时间:2018-11-02 00:00:00 访问次数: 字号:
报告题目:Low regularity blowup solutions for the mass-critical nonlinear Schr\"odinger equations
报告人:郑继强教授,北京应用物理与计算数学研究所
报告时间:2018年10月26日(周五)下午16:00
报告地点:行健楼学术活动室526
邀请人:张吉慧教授
摘要:In this talk, we study the $H^s$-stability of the log-log blowup regime (which has been completely described in a series of recent works by Merle and Rapha\"el) for the focusing mass-critical nonlinear Schr\"odinger equations in dimensions $d\geq3$. We aim to extend the result in Collianderand  Raphael for dimension two to the higher dimensions cases $d\geq3$, where we use the bootstrap argument in the above paper and the commutator estimates in Visan and Zhang's paper. This work is jointed with Chenmin Sun.