Fractional Cauchy problem on random snowflakes
Probability
2020-12-23 v1 Analysis of PDEs
Abstract
We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study the fractional Cauchy problem with Robin condition on the pre-fractal boundary obtaining asymptotic results for the corresponding fractional diffusions with Robin, Neumann and Dirichlet boundary conditions on the fractal domain.
Cite
@article{arxiv.2012.12003,
title = {Fractional Cauchy problem on random snowflakes},
author = {Raffaela Capitanelli and Mirko D'Ovidio},
journal= {arXiv preprint arXiv:2012.12003},
year = {2020}
}