Showing math.APShow all
2 papers · 1 filter
math.AP2025
Unconditional uniqueness of Hardy--Hénon parabolic equations on Herz spaces
Naoya Hatano, Masahiro Ikeda
In this paper, we introduce the unconditional uniqueness of solutions in Herz spaces for the Hardy--Hénon parabolic equation, which is a semilinear heat equation with a power-type…
math.AP2024
Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces
Naoya Hatano, Masahiro Ikeda
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…