The non-linear sewing lemma I: weak formulation

DOI10.1214/19-EJP313zbMath1466.60219arXiv1810.11987OpenAlexW2806781760WikidataQ124987528 ScholiaQ124987528MaRDI QIDQ2316583

Antoine Lejay, Antoine Brault

Publication date: 6 August 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11987

zbMATH Keywords

rough pathsrough differential equationsLipschitz flowssewing lemmaflow approximationsmeasurable flowsnon uniqueness of solutions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Selections in general topology (54C65) Rough paths (60L20)

Related Items (6)

Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma ⋮ The non-linear sewing lemma III: stability and generic properties ⋮ Construction of Boltzmann and McKean-Vlasov type flows (the sewing lemma approach) ⋮ On nonlinear rough paths ⋮ The non-linear sewing lemma. II. Lipschitz continuous formulation ⋮ Constructing general rough differential equations through flow approximations

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