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Mathematics > Analysis of PDEs

arXiv:2212.03744 (math)
[Submitted on 7 Dec 2022 (v1) , last revised 11 Dec 2022 (this version, v2)]

Title: On fractional parabolic equations with Hardy-type potentials

Title: 关于带有Hardy型势的分数抛物方程

Authors:Veronica Felli, Ana Primo, Giovanni Siclari
Abstract: A classification of local asymptotic profiles and strong unique continuation properties are established for a class of fractional heat equations with a Hardy-type potential, via an Almgren-Poon monotonicity formula combined with a blow-up analysis.
Abstract: 对于带有Hardy型势的分数热方程的一类局部渐近轮廓和强唯一延拓性质通过Almgren-Poon单调性公式结合爆破分析得以建立。
Comments: 34 pages
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35R11, 35K67, 35B40, 35B60
Cite as: arXiv:2212.03744 [math.AP]
  (or arXiv:2212.03744v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2212.03744
arXiv-issued DOI via DataCite

Submission history

From: Veronica Felli [view email]
[v1] Wed, 7 Dec 2022 16:10:41 UTC (34 KB)
[v2] Sun, 11 Dec 2022 08:00:21 UTC (34 KB)
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