Seminar on PDE
主講者: | 金秀貞 博士 (本所) |
講題: | The Krylov-Safonov Harnack inequality for nondivergent parabolic operators on Riemannian manifolds |
時間: | 2014-10-02 (Thu.) 10:30 - 11:30 |
地點: | 數學所 617 研討室 (台大院區) |
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. |
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