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.
