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A new strong uniqueness result is established for a multidimensional SDE with a nondegenerate diffusion and partially irregular drift. It may be regarded as a combined variation on the themes of T. Yamada and S. Watanabe [ J. Math. Kyoto Univ., 11 (1971), pp. 155--167], A. K. Zvonkin [ Math. USSR-Sb., 22 (1974), pp. 129--149], and A. Yu. Veretennikov [ Math. USSR-Sb., 39 (1981), pp. 387--403].
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Veretennikov et al. (2026) studied this question.
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