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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.14319 |
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| _version_ | 1866910983650279424 |
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| author | Ioku, Norisuke Ishige, Kazuhiro Kawakami, Tatsuki |
| author_facet | Ioku, Norisuke Ishige, Kazuhiro Kawakami, Tatsuki |
| contents | In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14319 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces Ioku, Norisuke Ishige, Kazuhiro Kawakami, Tatsuki Analysis of PDEs In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation. |
| title | Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.14319 |