Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909601799077888 |
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| author | Hatano, Naoya Ikeda, Masahiro |
| author_facet | Hatano, Naoya Ikeda, Masahiro |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_14094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces Hatano, Naoya Ikeda, Masahiro Analysis of PDEs Functional Analysis 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. |
| title | Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2404.14094 |