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Mémoire / Rapport De Stage Année : 2015

Solving rough differential equations with the theory of the regularity structures

Antoine Brault

Résumé

The theory of the rough paths allows to give a meaning to the differential equations dYt = F(Yt)dXt; where X is [infinity]-Hölder with [alpha is an element of] (0; 1] and to prove the existence and the unicity of a solution. Here we propose to approach this equation with the theory of the regularity structures and to find the results already known with this framework.
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Dates et versions

hal-01768548 , version 1 (17-04-2018)

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  • HAL Id : hal-01768548 , version 1

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Antoine Brault. Solving rough differential equations with the theory of the regularity structures. Mathematics [math]. 2015. ⟨hal-01768548⟩
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