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arXiv · 1901.01018

On temporal regularity of stochastic convolutions in $2$-smooth Banach spaces

Martin Ondrejat·Mark Veraar
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Abstract

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 $B^{1/2}_{\Phi_2,\infty}(0,T;X)$ where $\Phi_2(x)=\exp(x^2)-1$ and $X$ is a $2$-smooth Banach space.

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Martin Ondrejat, Mark Veraar. 2019-01-04. On temporal regularity of stochastic convolutions in $2$-smooth Banach spaces. https://arxiv.org/abs/1901.01018

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