Geometry and Topology Seminar - Xiaolong Li - Moduli of continuity, gradient estimates and lower bounds of the first eigenvalue
Speaker: Xiaolong Li (McMaster University)
Abstract: In this talk, I will discuss the modulus of continuity estimates for linear, quasilinear and fully nonlinear parabolic equations: the moduli of continuity of solutions to parabolic equations are subsolutions of suitable equations of one space variable. Then I will discuss two main applications: sharp time-interior gradient estimates and lower bounds of the first nonzero eigenvalue of the Laplacian on manifolds. The talk is based on several works, some of which are joint work with Dr. Kui Wang at Soochow University.
Join Zoom Meeting
Meeting details to follow