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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