Differential Equations and Nonlinear Analysis Seminar: Robin Neumayer, CMU, USA, Quantitative Faber-Krahn Inequalities and Applications
ZoomAmong 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: balls have the smallest principal Dirichlet eigenvalue among subsets of Euclidean space with a fixed volume. I will discuss new quantitative stability results for the Faber-Krahn…