Rough path metrics on a Besov–Nikolskii-type scale

It is known, since the seminal work [T. Lyons, Differential equations driven by rough signals, Rev. Mat. Iberoamericana, 14 (1998)], that the solution map associated to a controlled differential equation is locally Lipschitz continuous in q-variation, resp., 1/q-H¨older-type metrics on the space of...

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Bibliographic Details
Main Authors: Friz, P, Prömel, D
Format: Journal article
Language:English
Published: American Mathematical Society 2017