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local well-posedness 1nonlinear SPDEs 1parabolic regularization 1rough multiplicative noise 1stochastic reaction-diffusion 1

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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 $(Î…