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math.PR2018
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…
math.PR2018
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…