Unstable Manifolds for Rough Evolution Equations
نویسندگان
چکیده
In this paper, we consider a class of evolution equations driven by finite-dimensional $$\gamma $$ -Hölder rough paths, where \in (1/3,1/2]$$ . We prove the global-in-time solutions (REEs) in sutiable space, also obtain that generate random dynamical systems. Meanwhile, derive existence local unstable manifolds for such properly discretized Lyapunov–Perron method.
منابع مشابه
Rough evolution equations
We show how to generalize Lyons’ rough paths theory in order to give a pathwise meaning to some non-linear infinite-dimensional evolution equations associated to an analytic semigroup and driven by an irregular noise. As an illustration, we apply the theory to a class of 1d SPDEs driven by a space-time fractional Brownian motion.
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ژورنال
عنوان ژورنال: Bulletin of the Malaysian Mathematical Sciences Society
سال: 2023
ISSN: ['2180-4206', '0126-6705']
DOI: https://doi.org/10.1007/s40840-023-01547-6