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Stochastic maximal regularity for rough time-dependent problems

Portal, Pierre; Veraar, Mark


We unify and extend the semigroup and the PDE approaches to stochastic maximal regularity of time-dependent semilinear parabolic problems with noise given by a cylindrical Brownian motion. We treat random coefficients that are only progressively measurable in the time variable. For 2m-th order systems with VMO regularity in space, we obtain L p(Lq ) estimates for all p > 2 and q ≥ 2, leading to optimal space-time regularity results. For second order systems with continuous coefficients in...[Show more]

CollectionsANU Research Publications
Date published: 2019-03-02
Type: Journal article
Source: Stochastics and Partial Differential Equations: Analysis and Computations
DOI: 10.1007/s40072-019-00134-w
Access Rights: Open Access


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