Rough integrators on Banach manifolds
2019
Abstract We introduce a notion of p -rough integrator on any Banach manifolds which plays the role of weak geometric Holder p -rough paths in the usual Banach space setting, for any p ⩾ 1 . 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.
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