Flows Driven by Banach Space-Valued Rough Paths

DOI10.1007/978-3-319-11970-0_7zbMath1390.60200arXiv1309.6082OpenAlexW1804556946MaRDI QIDQ4568486

Ismaël Bailleul

Publication date: 21 June 2018

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6082

zbMATH Keywords

flowsrough differential equationsinfinite dimensional rough paths

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (17)

Nonautonomous Young differential equations revisited ⋮ Unstable manifolds for rough evolution equations ⋮ Unstable manifolds for rough evolution equations ⋮ Random dynamical systems, rough paths and rough flows ⋮ Regularity of the Itô-Lyons map ⋮ Flows driven by rough paths ⋮ Rough differential equations with path-dependent coefficients ⋮ Center manifolds for rough partial differential equations ⋮ The non-linear sewing lemma III: stability and generic properties ⋮ Non-explosion criteria for rough differential equations driven by unbounded vector fields ⋮ Rough integrators on Banach manifolds ⋮ The non-linear sewing lemma. II. Lipschitz continuous formulation ⋮ On the definition of a solution to a rough differential equation ⋮ The non-linear sewing lemma I: weak formulation ⋮ Constructing general rough differential equations through flow approximations ⋮ Geometric rough paths on infinite dimensional spaces ⋮ Rough Center Manifolds

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