{"title":"A Trotter product formula for gradient flows in metric spaces","_id":"2123","volume":11,"page":"405 - 427","date_updated":"2021-11-16T08:05:46Z","month":"01","date_created":"2018-12-11T11:55:51Z","type":"journal_article","year":"2011","author":[{"first_name":"Philippe","last_name":"Clément","full_name":"Clément, Philippe"},{"last_name":"Maas","full_name":"Maas, Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","orcid":"0000-0002-0845-1338"}],"acknowledgement":"The second named author is supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO).","publication_status":"published","oa":1,"oa_version":"None","extern":"1","intvolume":"        11","publication":"Journal of Evolution Equations","status":"public","day":"21","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1005.0998"}],"date_published":"2011-01-21T00:00:00Z","doi":"10.1007/s00028-010-0096-5","citation":{"ieee":"P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” <i>Journal of Evolution Equations</i>, vol. 11, no. 2. Birkhäuser, pp. 405–427, 2011.","ama":"Clément P, Maas J. A Trotter product formula for gradient flows in metric spaces. <i>Journal of Evolution Equations</i>. 2011;11(2):405-427. doi:<a href=\"https://doi.org/10.1007/s00028-010-0096-5\">10.1007/s00028-010-0096-5</a>","chicago":"Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” <i>Journal of Evolution Equations</i>. Birkhäuser, 2011. <a href=\"https://doi.org/10.1007/s00028-010-0096-5\">https://doi.org/10.1007/s00028-010-0096-5</a>.","short":"P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427.","apa":"Clément, P., &#38; Maas, J. (2011). A Trotter product formula for gradient flows in metric spaces. <i>Journal of Evolution Equations</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00028-010-0096-5\">https://doi.org/10.1007/s00028-010-0096-5</a>","mla":"Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” <i>Journal of Evolution Equations</i>, vol. 11, no. 2, Birkhäuser, 2011, pp. 405–27, doi:<a href=\"https://doi.org/10.1007/s00028-010-0096-5\">10.1007/s00028-010-0096-5</a>.","ista":"Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 11(2), 405–427."},"issue":"2","language":[{"iso":"eng"}],"related_material":{"link":[{"relation":"erratum","url":"https://doi.org/10.1007/s00028-012-0173-z"}]},"article_processing_charge":"No","publisher":"Birkhäuser","abstract":[{"text":"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.","lang":"eng"}],"publist_id":"4911","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9"}