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On temporal regularity of stochastic convolutions in $2$-smooth Banach spaces
Martin Ondrejat, Mark Veraar · 2019-01-04 · via math.PR updates on arXiv.org

We show that paths of solutions to parabolic stochastic differential equations have the same regularity in time as the Wiener process (as of the current state of art). The temporal regularity is considered in the Besov-Orlicz space $B^{1/2}_{Φ_2,\infty}(0,T;X)$ where $Φ_2(x)=\exp(x^2)-1$ and $X$ is a $2$-smooth Banach space.

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