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arXiv · 2311.00764

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

Florian Bechtold·Fabian A. Harang
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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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Florian Bechtold, Fabian A. Harang. 2023-11-01. Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion. https://arxiv.org/abs/2311.00764

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