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The non-linear sewing lemma II: Lipschitz continuous formulation

Authors
  • Brault, Antoine
  • Lejay, Antoine
Publication Date
Jul 13, 2018
Source
HAL-UPMC
Keywords
Language
English
License
Unknown
External links

Abstract

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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