April 22, 20240 citationsOpen Access

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

NHNaoya HatanoChuo University MIMasahiro IkedaThe University of Osaka

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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 3. 3Tayachi20, which is proved by using weak Lebesgue and Lorentz spaces.

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Hatano et al. (Mon,) studied this question.

synapsesocial.com/papers/68e6e2eeb6db64358765ec39 https://doi.org/https://doi.org/10.48550/arxiv.2404.14094

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