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Liouville theorems for ancient caloric functions via optimal growth conditions

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 Added by Sunra Mosconi J.N.
 Publication date 2019
  fields
and research's language is English
 Authors 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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