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Transport and continuity equations with (very) rough noise

  • Published:2021-06-21 Issue:4 Volume:2 Page:
  • ISSN:2662-2963
  • Container-title:Partial Differential Equations and Applications
  • language:en
  • Short-container-title:Partial Differ. Equ. Appl.

Author:

Bellingeri C.,Djurdjevac A.,Friz P. K.ORCID,Tapia N.

Abstract

AbstractExistence and uniqueness for rough flows, transport and continuity equations driven by general geometric rough paths are established.

Funder

Horizon 2020 Framework Programme

Publisher

Springer Science and Business Media LLC

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quasi-geometric rough paths and rough change of variable formula;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2023-08-01

2. Besov rough path analysis;Journal of Differential Equations;2022-12

3. Constructing general rough differential equations through flow approximations;Electronic Journal of Probability;2022-01-01

4. Regularization by random translation of potentials for the continuous PAM and related models in arbitrary dimension;Electronic Communications in Probability;2022-01-01
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