Speaker : | Dr. Soojung Kim (Academia Sinica) |
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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. |