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

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Naoya Hatano, Masahiro Ikeda
DOI: 10.1090/proc/17363
Cited by: 0

Abstract

We study the smoothing estimate for the heat semigroup which is related to the nonlinear term of the Hardy-Hénon 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.

Fields of Study & Subjects

advanced mathematical theories Advanced Harmonic Analysis Research Advanced Mathematical Physics Problems

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publication date
4 September 2026
Language
EN