15 citations · 15 across the 4 of their papers we have counts for
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Rough center manifolds
Christian Kuehn, Alexandra Neamtu
Since the breakthrough in rough paths theory for stochastic ordinary differential equations (SDEs), there has been a strong interest in investigating the rough differential equatio…
Global solutions and random dynamical systems for rough evolution equations
Robert Hesse, Alexandra Neamtu
We consider infinite-dimensional parabolic rough evolution equations. Using regularizing properties of analytic semigroups we prove global-in-time existence of solutions and invest…
Local mild solutions for rough stochastic partial differential equations
Robert Hesse, Alexandra Neamtu
We investigate mild solutions for stochastic evolution equations driven by a fractional Brownian motion (fBm) with Hurst parameter H in (1/3, 1/2] in infinite-dimensional Banach sp…
Pathwise mild solutions for quasilinear stochastic partial differential equations
Christian Kuehn, Alexandra Neamtu
Stochastic partial differential equations (SPDEs) have become a key modelling tool in applications. Yet, there are many classes of SPDEs, where the existence and regularity theory…