Special Session 81: Reaction-(cross-)diffusion models in mathematical biology

Liouville theorem for the fractional reaction-diffusion equations

Leyun Wu
South China University of Technology
Peoples Rep of China
Co-Author(s):    Wenxiong Chen and Pengyan Wang
Abstract:
In this talk, I will introduce some Liouville theorems for fractional reaction-diffusion equations. First, I will present some key ingredients such as maximum principles for anti-symmetric functions and narrow region principles, then demonstrate how to derive the monotonicity and nonexistence of solutions to fractional reaction-diffusion equations in the whole space or in a half space.