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Mathematics > Analysis of PDEs

Title: Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces

Authors: Naoya Hatano, Masahiro Ikeda
(Submitted on 22 Apr 2024)
Abstract: We study the smoothing estimate for the heat semigroup which is related to the nonlinear term of the Hardy-H\'enon parabolic equation on Morrey spaces. This result is improvement of \cite[Proposition 3.3]{Tayachi20}, which is proved by using weak Lebesgue and Lorentz spaces.
Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)
Cite as: arXiv:2404.14094 [math.AP]
  (or arXiv:2404.14094v1 [math.AP] for this version)

Submission history

From: Naoya Hatano [view email]
[v1] Mon, 22 Apr 2024 11:27:20 GMT (6kb)
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