Department of Mathematics - Seminar on PDE - Energy method for quantitative analysis of rates of convergence to asymptotic profiles for fast diffusion

9:00am - 10:00am
https://hkust.zoom.us/j/92490076141 (Passcode: 639787)

In this talk, we shall discuss quantitative analysis of asymptotic behaviors of (possibly sign-changing) solutions to the Cauchy-Dirichlet problem for the fast diffusion equation posed on bounded domains with Sobolev subcritical exponents. More precisely, rates of convergence to non-degenerate asymptotic profiles will be revealed via an energy method. The sharp rate of convergence to positive asymptotic profiles was recently discussed by Bonforte and Figalli (2021, CPAM) based on an entropy method. An alternative proof for their result will also be provided.

講者/ 表演者:
Prof. Goro AKAGI
Tohoku University
語言
英文
適合對象
校友
教職員
研究生
本科生
主辦單位
數學系
新增活動
請各校內團體將活動發布至大學活動日曆。