Probability & Statistics Seminar

Gradient Estimates on Dirichlet Eigenfunctions

  • 演讲者:FENG-YU WANG (天津大学)

  • 时间:2017-10-19 14:50-15:40

  • 地点:慧园3栋 415报告厅

By using stochastic analysis on Riemannian manifold, we derive explicit constants c1(D) and c2(D) for a d-dimensional compact Riemannian manifold D with boundary such that holds for any Dirichlet eigenfunction φ on D with eigenvalue λ. In particular, when D is convex with nonnegative Ricci curvature, this estimate holds for