Special Session 185: Multiscale Analysis: Geometry and Evolution Problems (mSPACE)

limits of time-changed degenerate semigroups & applications
Ali BenAmor
University of Sousse, high school for transport and logistics
Tunisia
Co-Author(s):    
Abstract:
For a given standard process and a sequence of measures converging vaguely to a final measure, under some assumptions, we establish convergence of the sequence of the semigroups and the resolvents of the corresponding time changed-processes. Some applications are given: convergence of solutions of evolution equations and convergence of finite time distributions, as well as weak convergence of the related processes.