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math.PR2011★ 1 cited
Differential Structure and Flow equations on Rough Path Space
Zhongmin Qian, Jan Tudor
We introduce a differential structure for the space of weakly geometric p rough paths over a Banach space V for 2<p<3. We begin by considering a certain natural family of smooth ro…
math.PR2009
Non-Linear Evolution Equations Driven by Rough Paths
Thomas Cass, Zhongmin Qian, Jan Tudor
We prove existence and uniqueness results for (mild) solutions to some non-linear parabolic evolution equations with a rough forcing term. Our method of proof relies on a careful e…