20220414 陈化 Eigenvalue Problems for Degenerate Elliptic Operators on Non-equiregular Sub-Riemannian Manifolds

报告题目：Eigenvalue Problems for Degenerate Elliptic Operators on Non-equiregular  

         Sub-Riemannian Manifolds

报告人：陈化

邀请人：黄勇  

工作单位：武汉大学

时间：2022年4月14日（星期四）下午3:00-4:00

腾讯会议号：577-394-498

摘要：    In this talk, we shall report on recent results on an eigenvalue problem for

self-adjoint Hormander operators on non-equiregular sub-Riemannian manifolds.

Using the Rayleigh-Ritz formula and the sub-elliptic heat kernel estimates, we

establish the upper bounds of eigenvalues which depend on the volume of subunit

ball and the measure of the manifold. Under a certain condition, we obtain the explicit

upper bounds of eigenvalues which have the polynomial growth in k with the optimal

order related to the non-isotropic dimension of the manifold.