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Non-explosion criteria for rough differential equations driven by unbounded vector fields
Ismael Bailleul1 ; Remi Catellier2
1 Institut de Recherche Mathematiques de Rennes, 263 Avenue du General Leclerc, 35042 Rennes (France)
2 Université Côtes d’Azur, LJAD, Nice (France)
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 3, pp. 721-759.

On traite de façon simple dans cette note du problème de la non explosion des solutions d’équations différentielles rugueuses conduites par des champs de vecteurs non bornés et un p-rough path faiblement géométrique, pour p quelconque.

We give in this note a simple treatment of the non-explosion problem for rough differential equations driven by unbounded vector fields and weak geometric rough paths of arbitrary roughness.

Reçu le :
Accepté le :
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DOI : 10.5802/afst.1644

Ismael Bailleul 1 ; Remi Catellier 2

1 Institut de Recherche Mathematiques de Rennes, 263 Avenue du General Leclerc, 35042 Rennes (France)
2 Université Côtes d’Azur, LJAD, Nice (France)
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Ismael Bailleul; Remi Catellier. Non-explosion criteria for rough differential equations driven by unbounded vector fields. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 3, pp. 721-759. doi : 10.5802/afst.1644. https://afst.centre-mersenne.org/articles/10.5802/afst.1644/

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