On strong solution of a multidimensional SDE: extension of Yamada -- Watanabe's theorem

A. A. Lyappieva, A. Yu. Veretennikov

Published: 2025/10/5

Abstract

A new strong uniqueness result for a multidimensional SDE with a non-degenerate diffusion and partially irregular drift is established. It may be regarded as a combined variation on the themes of Yamada \& Watanabe (1971), of Zvonkin (1974), and of the second author of the present paper (1980).

On strong solution of a multidimensional SDE: extension of Yamada -- Watanabe's theorem | SummarXiv | SummarXiv