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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s00526-022-02345-x.pdf | 541.38 kB | Adobe PDF | 見る/開く |
完全メタデータレコード
| DCフィールド | 値 | 言語 |
|---|---|---|
| dc.contributor.author | Ogawa, Takayoshi | en |
| dc.contributor.author | Suguro, Takeshi | en |
| dc.contributor.author | Wakui, Hiroshi | en |
| dc.contributor.alternative | 勝呂, 剛志 | ja |
| dc.date.accessioned | 2023-09-07T02:57:24Z | - |
| dc.date.available | 2023-09-07T02:57:24Z | - |
| dc.date.issued | 2023-03 | - |
| dc.identifier.uri | http://hdl.handle.net/2433/284972 | - |
| dc.description.abstract | We show the finite time blow up of a solution to the Cauchy problem of a drift-diffusion equation of a parabolic-elliptic type in higher space dimensions. If the initial data satisfies a certain condition involving the entropy functional, then the corresponding solution to the equation does not exist globally in time and blows up in a finite time for the scaling critical space. Besides there exists a concentration point such that the solution exhibits the concentration in the critical norm. This type of blow up was observed in the scaling critical two dimensions. The proof is based on the profile decomposition and the Shannon inequality in the weighted space. | 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.subject | 35K15 | en |
| dc.subject | 35K55 | en |
| dc.subject | 35Q60 | en |
| dc.subject | 78A35 | en |
| dc.title | Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions | en |
| dc.type | journal article | - |
| dc.type.niitype | Journal Article | - |
| dc.identifier.jtitle | Calculus of Variations and Partial Differential Equations | en |
| dc.identifier.volume | 62 | - |
| dc.identifier.issue | 2 | - |
| dc.relation.doi | 10.1007/s00526-022-02345-x | - |
| dc.textversion | publisher | - |
| dc.identifier.artnum | 47 | - |
| dcterms.accessRights | open access | - |
| datacite.awardNumber | 19H05597 | - |
| datacite.awardNumber | 19J20763 | - |
| datacite.awardNumber | 22K20336 | - |
| datacite.awardNumber | 20J00940 | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H05597/ | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19J20763/ | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K20336/ | - |
| datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20J00940/ | - |
| dc.identifier.pissn | 0944-2669 | - |
| dc.identifier.eissn | 1432-0835 | - |
| 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 | 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 |
| jpcoar.awardTitle | 放物型方程式の解の時間大域挙動の解析 | ja |
| 出現コレクション: | 学術雑誌掲載論文等 | |
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