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G-capacity under degenerate case and its application

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 نشر من قبل Xiaojuan Li
 تاريخ النشر 2021
  مجال البحث
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 تأليف Xiaojuan Li




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In this paper, we first find a type of viscosity solution of $G$-heat equation under degenerate case, and then obtain the related $G$-capacity $c({B_{T}in A})$ for any Borel set $A$. Furthermore, we prove that $I_{A}(B_{T})$ is not quasi-continuous when it is not a constant function.



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