• Corpus ID: 239049617

# Sharp solvability for singular SDEs

@inproceedings{Kinzebulatov2021SharpSF,
title={Sharp solvability for singular SDEs},
author={Damir Kinzebulatov and Yu. A. Semenov},
year={2021}
}
• Published 21 October 2021
• Mathematics
Abstract. The attracting inverse-square drift provides a prototypical counterexample to solvability of singular SDEs: if the coefficient of the drift is larger than a certain critical value, then no weak solution exists. We prove a positive result on solvability of singular SDEs where this critical value is attained from below (up to strict inequality) for the entire class of form-bounded drifts. This class contains e.g. the inverse-square drift, the critical Ladyzhenskaya-Prodi-Serrin class…

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