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Compactness criteria for the resolvent of the Fokker-Planck operator and Witten Laplacian
[  作者:    人气:  创建时间:2017/03/13  ]

学术报告:Compactness criteria for the resolvent of the Fokker-Planck operator and Witten Laplacian

报告专家:李维喜 教授

报告时间:2017316日(星期四)10:30-11:30

报告地点:数统学院201学术报告厅

专家简介:李维喜,武汉大学数学与统计学院教授。主要研究兴趣为非线性偏微分方程以及应用。国家优秀青年科学基金获得者。在Adv.Math, CPDE, JDE SIAM J.Math.Anal.  等国际著名学术期刊上发表论文多篇。

报告摘要:In this talk we study the spectral property of   Fokker-Planck operator and Witten Laplacian with potential.  We obtain new compactness criteria for the resolvent, involving the control of the positive eigenvalues of the Hessian matrix of the potential.  The main tools are multiplier method  and nilpotent Lie group technique.