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Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion

Published 1 Nov 2023 in math.PR | (2311.00764v1)

Abstract: We prove a regularization by noise phenomenon for semilinear SPDEs driven by multiplicative cylindrical Brownian motion and singular diffusion coefficient. The analysis is based on a combination of infinite dimensional generalizations of arguments in the SDE setting as well as careful maximal regularity analysis for semilinear SPDEs and Volterra-sewing techniques.

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