A Trotter product formula for gradient flows in metric spaces

P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427.


Journal Article | Published
Author
Clément, Philippe H; Maas, JanIST Austria
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.
Publishing Year
Date Published
2011-01-21
Journal Title
Journal of Evolution Equations
Acknowledgement
The second named author is supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO).
Volume
11
Issue
2
Page
405 - 427
IST-REx-ID

Cite this

Clément P, Maas J. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 2011;11(2):405-427. doi:10.1007/s00028-010-0096-5
Clément, P., & Maas, J. (2011). A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations, 11(2), 405–427. https://doi.org/10.1007/s00028-010-0096-5
Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations 11, no. 2 (2011): 405–27. https://doi.org/10.1007/s00028-010-0096-5.
P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” Journal of Evolution Equations, vol. 11, no. 2, pp. 405–427, 2011.
Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 11(2), 405–427.
Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations, vol. 11, no. 2, Birkhäuser, 2011, pp. 405–27, doi:10.1007/s00028-010-0096-5.
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