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This analysis reveals new insights on strong solutions in multidimensional SDEs, suggesting extended applications of the Yamada Watanabe theorem.
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).
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Lyappieva et al. (2025) studied this question.
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