3 papers
math.AP2026
An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Antonio Agresti, Fabian Germ, Mark Veraar
We study local well-posedness for a class of stochastic reaction-diffusion equations driven by multiplicative, possibly colored, noise. The interaction between rough stochastic for…
math.PR2026
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 $(γ_n…
math.AP2024
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…