# On Besov regularity and local time of the stochastic heat equation

@inproceedings{Boufoussi2020OnBR, title={On Besov regularity and local time of the stochastic heat equation}, author={Brahim Boufoussi and Yassine Nachit}, year={2020} }

Sharp Besov regularities in time and space variables are investigated for (u(t, x), t ∈ [0, T ], x ∈ R), the mild solution to the stochastic heat equation driven by space-time white noise. Existence, Hölder continuity, and Besov regularity of local times are established for u(t, x) viewed either as a process in the space variable or time variable. Hausdorff dimensions of their corresponding level sets are also obtained.

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