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Pré-Publication, Document De Travail Année : 2018

The non-linear sewing lemma II: Lipschitz continuous formulation

Antoine Brault
Antoine Lejay

Résumé

We give an unified framework to solve rough differential equations. Based on flows, our approach unifies the former ones developed by Davie, Friz-Victoir and Bailleul. The main idea is to build a flow from the iterated product of an almost flow which can be viewed as a good approximation of the solution at small time. In this second article, we give some tractable conditions under which the limit flow is Lipschitz continuous and its links with uniqueness of solutions of rough differential equations. We also give perturbation formulas on almost flows which link the former constructions.
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Dates et versions

hal-01839202 , version 1 (13-07-2018)
hal-01839202 , version 2 (26-10-2018)
hal-01839202 , version 3 (08-02-2021)

Identifiants

  • HAL Id : hal-01839202 , version 1

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Antoine Brault, Antoine Lejay. The non-linear sewing lemma II: Lipschitz continuous formulation. 2018. ⟨hal-01839202v1⟩
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