Spectral properties of Levy Fokker-Planck equations
数学专题报告
报告题目(Title)：Spectral properties of Levy Fokker-Planck equations
报告人(Speaker)：María del Mar González (Universidad Autónoma de Madrid)
地点(Place)：Zoom ID: 934 7331 0348，Passcode: 692453
时间(Time)：2023 年 3月 24 日(周五), 17：00—18：00
邀请人(Inviter)：熊金钢
报告摘要
We study the spectrum of a fractional Laplacian equation with drift in suitable weighted spaces. This operator arises when studying the fractional heat equation in self-similar variables. We show, in the radially symmetric case, compactness, and then calculate the eigenfunctions in terms of Laguerre polynomials. The proofs involve Mellin transform and complex analysis methods. This is joint work with H. Chan, M. Fontelos and J. Wei.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
