A Trotter product formula for gradient flows in metric spaces

Published 6 May 2010 in math.AP and math.FA | (1005.0998v1)

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.

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