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Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces
Preprint
22 April 2024
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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.