A Trotter product formula for gradient flows in metric spaces

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作者
Philippe Clément
Jan Maas
机构
[1] Delft University of Technology,Delft Institute of Applied Mathematics
[2] University of Bonn,Institute for Applied Mathematics
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Primary 49Q20; Secondary 35A15; 47H20; 82C31; Gradient flows; Trotter product formula; splitting method; Fokker Planck equations;
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摘要
We prove a Trotter product formula for gradient flows in metric spaces. This result is applied to establish convergence in the L2-Wasserstein metric of the splitting method for some Fokker-Planck equations and porous medium type equations perturbed by a potential.
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页码:405 / 427
页数:22
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