| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil
[2] Univ Catolica San Pablo, Dept Matemat & Estadist, Arequipa - Peru
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 153, p. 86-117, JUL 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider a fractional porous medium equation that extends the classical porous medium and fractional heat equations. The flow is studied in the space of periodic probability measures endowed with a non-local transportation distance constructed in the spirit of the Benamou-Brenier formula. For initial periodic probability measures, we show the existence of absolutely continuous curves that are generalized minimizing movements associated to Renyi entropy. We also develop a subdifferential calculus in our setting. (C) 2019 Elsevier Masson SAS. All rights reserved. (AU) | |
| FAPESP's process: | 16/16104-8 - PDEs and time-dependent gradient flows in rough spaces |
| Grantee: | Lucas Catão de Freitas Ferreira |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/23326-1 - Optimal mass transport and nonlocal PDEs |
| Grantee: | Matheus Correia dos Santos |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |