Space Regularity of Evolution Equations Driven by Rough Paths

Davide Addona, Luca Lorenzi, Gianmario Tessitore

In this paper, we consider the linear evolution equation $dy(t)=Ay(t)dt+Gy(t)dx(t)$, where $A$ is a closed operator, associated to a semigroup, with good smoothing effects in a Ban…