中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： Dr. Robin Neumayer （Northwestern University）
题 目：Sharp quantitative Faber-Krahn inequalities and applications
时 间：2021.07.16（星期五），10:00-12:00
地 点：Zoom会议：412 019 4771 密码：mcm1234
摘 要：Among all drum heads of a fixed area, a circular drum head produces the vibration of lowest frequency. The general dimensional analogue of this fact is the Faber-Krahn inequality, which states that balls have the smallest principal Dirichlet eigenvalueamong subsets of Euclidean space with a fixed volume. I will discuss new quantitative stability results for the Faber-Krahn inequality on Euclidean space, the round sphere, and hyperbolic space, as well as an application to a monotonicity formula used in freeboundary problems. This is based on joint work with Mark Allen and Dennis Kriventsov.
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