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08-05【郑继强】管楼1308微分方程系列报告

澳门新葡新京:系统管理员发布时间:2019-08-02浏览次数:12


TitleLaplacian operator with Hardy potential and applications to PDEs
Speaker郑继强    (北京应用物理与计算数学研究所)
Time2019年8月5日             上午    10:00-11:00
Room东区管理科研楼  澳门新葡新京1308室

AbstractIn this talk, we first talk about the Sobolev space theory and harmonic analysis tools for the Laplacian opeartor associated with Hardy potential. And then we consider the energy-critical nonlinear wave equation in the presence of an Hardy potential. In the defocusing case, we prove that arbitrary initial data in the energy space lead to global solutions that scatter. In the focusing case, we prove scattering below the ground state threshold. This part is jointed with Changxing Miao and Jason Murphy. Finally, we study the low regularity problem for 3d cubic wave equation with the Hardy potential. This part is jointed with Changxing Miao and Junyong Zhang.


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