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

Naoya Hatano; Masahiro Ikeda

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arXiv · 2404.14094

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

Naoya Hatano·Masahiro Ikeda

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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.

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Naoya Hatano, Masahiro Ikeda. 2024-04-22. Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces. https://arxiv.org/abs/2404.14094

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