Speaker : Dr. Soojung Kim (Academia Sinica)
Title : The Krylov-Safonov Harnack inequality for nondivergent parabolic operators on Riemannian manifolds
Time : 2014-10-01 (Wed) 10:30 - 11:30
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: In this talk, I will explain the Krylov-Safonov theory which is the analogue of the De Giorgi-Nash-Moser theory. In particular, I will discuss the Krylov-Safonov Harnack inequality for parabolic operators on certain Riemannian manifolds. This result gives a new nondivergent proof for the Li-Yau Harnack inequality of the heat equation on manifolds with nonnegative Ricci curvature. This talk is based on a joint work with Seick Kim and Ki-Ahm Lee.