Asymptotic behaviour of fast diffusions on graphs
Analysis of PDEs
2019-02-20 v2
Abstract
We investigate fast diffusions on finite directed graphs. We prove results in a way dual to presented in Bobrowski, A. Ann. Henri Poincar\'e (2012) 13(6): 1501-1510 and Bobrowski, A., Morawska, K. DCDS-B (2012), 17(7): 2313-2327, and obtain asymptotic behaviour of a diffusion semigroup on a graph in and as the diffusions' speed increases and the probability of a particle passing through a vertex decreases.
Cite
@article{arxiv.1901.02072,
title = {Asymptotic behaviour of fast diffusions on graphs},
author = {Adam Gregosiewicz},
journal= {arXiv preprint arXiv:1901.02072},
year = {2019}
}
Comments
24 pages, 1 figure