Skip to Main content Skip to Navigation
Journal articles

Rough integrators on Banach manifolds

Abstract : We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a connection.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00979559
Contributor : Accord Elsevier Ccsd Connect in order to contact the contributor
Submitted on : Thursday, October 21, 2021 - 7:27:52 PM
Last modification on : Wednesday, November 3, 2021 - 9:34:47 AM

File

S0007449718300939.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

Identifiers

Citation

Ismaël Bailleul. Rough integrators on Banach manifolds. Bulletin des Sciences Mathématiques, Elsevier, 2019, 151, pp.51-65. ⟨10.1016/j.bulsci.2018.12.001⟩. ⟨hal-00979559⟩

Share

Metrics

Record views

323

Files downloads

3