129 citations · 466 across the 72 of their papers we have counts for
5 papers · 1 filter
A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs with smooth transport noise
Antonio Agresti, Max Sauerbrey, Mark Veraar
The celebrated De Giorgi-Nash-Moser theory ensures that solutions to uniformly elliptic or parabolic PDEs are bounded and Hölder continuous, even with merely bounded measurable coe…
A Note on a threshold for temporal regularity of stochastic PDEs
Antonio Agresti, Mark Veraar
We consider solutions to linear parabolic SPDEs of the form \[ \mathrm{d} u(t) + A u(t)\, \mathrm{d} t = g(t)\, \mathrm{d} β, \qquad u(0)=0, \] where is a positive, invertible,…
Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains
Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1
We study the Laplace operator on domains subject to Dirichlet or Neumann boundary conditions. We show that these operators admit a bounded -functional calculus on weigh…
Discrete stochastic maximal regularity
Foivos Evangelopoulos-Ntemiris, Mark Veraar
In this paper, we investigate discrete regularity estimates for a broad class of temporal numerical schemes for parabolic stochastic evolution equations. We provide a characterizat…
Nonlinear SPDEs and Maximal Regularity: An Extended Survey
Antonio Agresti, Mark Veraar
In this survey, we provide an in-depth exposition of our recent results on the well-posedness theory for stochastic evolution equations, employing maximal regularity techniques. Th…