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In this paper we aim at generalizing the results of A. K. Zvonkin and A. Y.Veretennikov on the construction of unique strong solutions of stochasticdifferential equations with singular drift vector field and additive noise inthe Euclidean space to the case of infinite-dimensional state spaces. Theregularizing driving noise in our equation is chosen to be a locallynon-H\"{o}lder continuous Hilbert space valued process of fractal nature, whichdoes not allow for the use of classical construction techniques for strongsolutions from PDE or semimartingale theory. Our approach, which does notresort to the Yamada-Watanabe principle for the verification of pathwiseuniqueness of solutions, is based on Malliavin calculus.

Restoration of Well-Posedness of Infinite-dimensional Singular ODE's via Noise