A Trotter product formula for gradient flows in metric spaces
Analysis of PDEs
2010-05-07 v1 Functional Analysis
Abstract
We prove a Trotter product formula for gradient flows in metric spaces. This result is applied to establish convergence in the L^2-Wasserstein metric of the splitting method for some Fokker-Planck equations and porous medium type equations perturbed by a potential.
Keywords
Cite
@article{arxiv.1005.0998,
title = {A Trotter product formula for gradient flows in metric spaces},
author = {Philippe Clément and Jan Maas},
journal= {arXiv preprint arXiv:1005.0998},
year = {2010}
}
Comments
20 pages, submitted for publication