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dc.contributor.author | Ogawa, Takayoshi | en |
dc.contributor.author | Suguro, Takeshi | en |
dc.contributor.alternative | 勝呂, 剛志 | ja |
dc.date.accessioned | 2023-09-07T02:57:27Z | - |
dc.date.available | 2023-09-07T02:57:27Z | - |
dc.date.issued | 2023-10 | - |
dc.identifier.uri | http://hdl.handle.net/2433/284973 | - |
dc.description.abstract | We consider the singular limit problem for the Cauchy problem of the (Patlak–) Keller–Segel system of parabolic-parabolic type. The problem is considered in the uniformly local Lebesgue spaces and the singular limit problem as the relaxation parameter $$tau $$ goes to infinity, the solution to the Keller–Segel equation converges to a solution to the drift-diffusion system in the strong uniformly local topology. For the proof, we follow the former result due to Kurokiba–Ogawa [20–22] and we establish maximal regularity for the heat equation over the uniformly local Lebesgue and Morrey spaces which are non-UMD Banach spaces and apply it for the strong convergence of the singular limit problem in the scaling critical local spaces. | en |
dc.language.iso | eng | - |
dc.publisher | Springer Nature | en |
dc.rights | © The Author(s) 2022 | en |
dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | - |
dc.title | Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller–Segel system | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Mathematische Annalen | en |
dc.identifier.volume | 387 | - |
dc.identifier.issue | 1-2 | - |
dc.identifier.spage | 389 | - |
dc.identifier.epage | 431 | - |
dc.relation.doi | 10.1007/s00208-022-02469-7 | - |
dc.textversion | publisher | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 19H05597 | - |
datacite.awardNumber | 18H01131 | - |
datacite.awardNumber | 20K20284 | - |
datacite.awardNumber | 19J20763 | - |
datacite.awardNumber | 22K20336 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H05597/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01131/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K20284/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19J20763/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K20336/ | - |
dc.identifier.pissn | 0025-5831 | - |
dc.identifier.eissn | 1432-1807 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | 臨界型非線形数理モデルにおける高次数理解析法の創造 | ja |
jpcoar.awardTitle | 複雑流体のエントロピー消散構造と数理解析 | ja |
jpcoar.awardTitle | 流体と燃焼の数学解析と未発見原理の創発 | ja |
jpcoar.awardTitle | 対数型Sobolevの不等式を用いた非線形発展方程式の解の正則性の研究 | ja |
jpcoar.awardTitle | 非局所型移流拡散方程式の解の局所正則性の研究 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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