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Nonlinear Analysis

Regularity of solutions to the Dirichlet problem for fast diffusion equations

Tianling Jin, Hong Kong University of Science and Technology

Location:  Zoom
Date & time: Wednesday, 01 December 2021 at 9:30AM - 10:30AM

Abstract: We prove global Holder gradient estimates for bounded positive weak solutions of fast diffusion equations in smooth bounded domains with homogeneous Dirichlet boundary condition, which then leads us to establish their optimal global regularity. It solves a problem raised by Berryman and Holland in 1980. This is joint work with Jingang Xiong.