Special Session 110: Stochastic Dynamics

Heat kernel estimates for anisotropic jump processes and Dirichlet problems
Jaehoon Kang
Hankyong National University
Korea
Co-Author(s):    
Abstract:
In this talk, we consider symmetric jump processes with anisotropic jumping kernels given by unions of symmetric cones. We first review heat kernel estimates for such processes in the whole space and discuss their main features. We then briefly discuss the problem of Dirichlet heat kernel estimates in domains and some of the difficulties arising from anisotropy. We conclude with a discussion of an approach and some related computations.