From the 1 of 16 linked papers with an AI index.
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An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Antonio Agresti, Fabian Germ, Mark Veraar
The paper develops a general local existence and uniqueness theory for stochastic reaction‑diffusion equations driven by rough, possibly non‑trace‑class noise, handling low‑regular…
An extended variational setting for critical SPDEs with Lévy noise
Sebastian Bechtel, Fabian Germ, Mark Veraar
The critical variational setting was recently introduced and shown to be applicable to many important SPDEs not covered by the classical variational setting. In this paper, we exte…
Counterexamples to maximal regularity for operators in divergence form
Sebastian Bechtel, Connor Mooney, Mark Veraar
In this paper, we present counterexamples to maximal -regularity for a parabolic PDE. The example is a second-order operator in divergence form with space and time-dependent c…
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…
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…