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

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 [Proposition 3.3]Tayachi20, which is proved by using weak Lebesgue and Lorentz spaces.

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