local well-posedness 1nonlinear SPDEs 1parabolic regularization 1rough multiplicative noise 1stochastic reaction-diffusion 1
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math.AP2026
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…
math.AP2026
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…