Special Session 65: Nonlinear Evolution Equations and Related Topics

Rates of convergence to asymptotic profiles for fast diffusion on domains

Goro Akagi
Mathematical Institute, Tohoku University
Japan
Co-Author(s):    
Abstract:
This talk is concerned with rates of convergence to asymptotic profiles for (possibly sign-changing) weak solutions to fast diffusion equations on bounded domains. Our method of proofs relies on an energy method for nonlinear evolution equations along with a quantitative gradient inequality, which is newly developed in this work.