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Liouville theorems for ancient caloric functions via optimal growth conditions

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 نشر من قبل Sunra Mosconi J.N.
 تاريخ النشر 2019
  مجال البحث
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 تأليف Sunra Mosconi




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We provide some Liouville theorems for ancient nonnegative solutions of the heat equation on a complete non-compact Riemannian manifold with Ricci curvature bounded from below. We determine growth conditions ensuring triviality of the latters, showing their optimality through examples.



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