报告人: 陈大广 (清华大学)

时间：2021年10月15日 10:00-11:00 

腾讯会议ID：159 144 262

摘要： In this talk, we will report Talenti's comparison theorem for Poisson equation on complete noncompact Riemannian manifold with nonnegative Ricci curvature. We will show how to use Talenti’s comparison result to prove the Faber-Krahn inequality for the first eigenvalue of Dirichlet Laplacian, L^1- and L^infty-moment spectrum, especially Saint-Venant theorem for torsional rigidity and a reverse H\older inequality for eigenfunctions of Dirichlet Laplacian. This is the joint work with Professor Haizhong Li.

 

报告人简介：陈大广，清华大学数学科学系副教授、博士生导师。研究的主要领域是流形上椭圆算子的特征值问题，研究结果发表在CMP, Math. Z., Calc. Var. PDE, JDE, , J. Math. Soc. Japan等杂志上。


邀请人：王 奎