A Trotter product formula for gradient flows in metric spaces

Details A Trotter product formula for gradient flows in metric spaces A Trotter product formula for gradient flows in metric spaces

2010-05-06

arxiv.org/abs/1005.0998v1

Mathematics

Analysis of PDEs

20 pages, submitted for publication

Scientific paper

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.

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