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Master thesis

Solving rough differential equations with the theory of the regularity structures

Abstract : 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.
Document type :
Master thesis
File URL :
http://docnum.univ-lorraine.fr/prive/BUS_M_2015_BRAULT_ANTOINE.pdf
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https://hal.univ-lorraine.fr/hal-01768548
Contributor : Memoires Ul <>
Submitted on : Tuesday, April 17, 2018 - 12:03:56 PM
Last modification on : Monday, October 19, 2020 - 2:41:47 PM

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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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