From the 1 of 15 linked papers with an AI index.
15 papers
A solution to the inverse generator problem and related questions
Emiel Lorist, Martin Meyries, Mark Veraar
We give a negative solution to the inverse generator problem on Hilbert spaces. More precisely, we construct a bounded operator with dense range on a Hilbert space that gen…
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…
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…
Sharp bounds for non-trace class noise and applications to SPDEs
Antonio Agresti, Fabian Germ, Mark Veraar
In the study of stochastic PDEs with colored, non-trace class space-time noise, one frequently encounters Gaussian series of the form where $(Î…
Maximal regularity for evolution equations with critical singular perturbations
Esmée Theewis, Mark Veraar
Assuming has maximal -regularity, this paper investigates perturbations of by time-dependent operators that are unbounded and satisfy a critical -integrabilit…
Large Deviations for Stochastic Evolution Equations in the Critical Variational Setting
Esmée Theewis, Mark Veraar
Using the weak convergence approach, we prove the large deviation principle (LDP) for solutions to quasilinear stochastic evolution equations with small Gaussian noise in the criti…