必威、所2021年系列学术活动（第217场）：董弘桀 教授 Brown University, USA

报告题目： Sobolev estimates for degenerate Kolmogorov equations

报 告 人：董弘桀 教授 Brown University, USA

报告时间：2022年1月14日 8:30-9:30

报告地点：腾讯会议 ID：687-870-462

或点击链接直接加入会议：https://meeting.tencent.com/dm/21Rid1BgRxwr

校内联系人：刘长春 liucc@jlu.edu.cn

报告摘要：I will present some recent results about degenerate (ultra-parabolic)

Kolmogorov equations (also known as linear kinetic Fokker–Planck equations), under the condition that the leading coefficients are measurable in t and VMO in (x, v) with respect to the intrinsic quasi-metric. Such equations appear often in the kinetic theory. We consider equations in both divergence and non-divergence form and our proof does not rely on any kernel estimates. This is based on joint work with Timur Yastrzhembskiy (Brown University).

报告人简介：董弘桀，美国Brown大学教授，主要从事偏微分方程正则性理论的研究，在该领域获得了一系列非常出色的结果。在Comm. Pure Appl. Math.、Arch. Rational Mech. Anal.、Comm. Math. Phys.、Comm. Partial Differential Equations、Trans. Amer. Math. Soc. 等高水平杂志上发表论文100多篇，并担任SIAM J. Math. Anal.， J. Differential Equations等杂志编委。