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A Trotter product formula for gradient flows in metric spaces

Authors :
Clément, Philippe
Maas, Jan
Publication Year :
2010

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.<br />Comment: 20 pages, submitted for publication

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1005.0998
Document Type :
Working Paper