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no. 4
Unbounded rough drivers
Ismael Bailleul1 ; Massimiliano Gubinelli2
1 IRMAR, 263 Avenue du General Leclerc, 35042 RENNES, France
2 Institut Universitaire de France — CEREMADE & CNRS UMR 7534, Université Paris Dauphine, Place du Maréchal De Lattre De Tassigny, 75775 PARIS cedex 16
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 4, pp. 795-830.

Nous proposons une théorie des équations différentielles linéaires dirigées par des processus à valeurs opérateurs non bornés. Nous appliquons cette théorie à une équation de transport pris au sens rugueux ainsi qu’à des systèmes d’équations symétriques, linéaires paraboliques dirigées par des champs de vecteurs dépendant du temps. Ces derniers sont des distributions en temps.

We propose a theory of linear differential equations driven by unbounded operator-valued rough signals. As an application we consider rough linear transport equations and more general linear hyperbolic symmetric systems of equations driven by time-dependent vector fields which are only distributions in the time direction.

Publié le :
DOI : 10.5802/afst.1553

Ismael Bailleul 1 ; Massimiliano Gubinelli 2

1 IRMAR, 263 Avenue du General Leclerc, 35042 RENNES, France
2 Institut Universitaire de France — CEREMADE & CNRS UMR 7534, Université Paris Dauphine, Place du Maréchal De Lattre De Tassigny, 75775 PARIS cedex 16
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Ismael Bailleul; Massimiliano Gubinelli. Unbounded rough drivers. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 4, pp. 795-830. doi : 10.5802/afst.1553. https://afst.centre-mersenne.org/articles/10.5802/afst.1553/

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