On fractional parabolic BMO and Lip_α caloric capacities

2024/12/21 by Hernández, Joan, Mateu, Joan, Prat, Laura · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.16520

Abstract

In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic BMO or Lip_α normalization conditions. We do this by introducing associated fractional caloric capacities, that we show to be comparable to a certain parabolic Hausdorff content.

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