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On Distribution depend SDEs with singular drifts

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 نشر من قبل Guohuan Zhao
 تاريخ النشر 2020
  مجال البحث
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 تأليف Guohuan Zhao




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We investigate the well-posedness of distribution dependent SDEs with singular coefficients. Existence is proved when the diffusion coefficient satisfies some non-degeneracy and mild regularity assumptions, and the drift coefficient satisfies an integrability condition and a continuity condition with respect to the (generalized) total variation distance. Uniqueness is also obtained under some additional Lipschitz type continuity assumptions.



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