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Existence of
solutions to a fractional semilinear heat equation in
uniformly local weak Zygmund-type spaces
Norisuke Ioku, Kazuhiro Ishige and Tatsuki Kawakami |
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Vol. 18 (2025), No. 6, 1477–1510
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Abstract |
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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. |
Keywords
solvability, fractional semilinear heat equation,
Zygmund-type spaces
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Mathematical Subject Classification
Primary: 35A01, 35A21, 35K58, 35R11, 46E30
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Milestones
Received: 25 October 2023
Revised: 21 December 2023
Accepted: 8 June 2024
Published: 29 May 2025
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Authors |
| Norisuke Ioku | |
| Mathematical Institute Tohoku University Sendai Japan |
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| Kazuhiro Ishige | |
| Graduate School of Mathematical
Sciences University of Tokyo Tokyo Japan |
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| Tatsuki Kawakami | |
| Applied Mathematics and Informatics
Course, Faculty of Advanced Science and Technology Ryukoku University Otsu Japan |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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