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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 |
| タイトル: | Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions |
| 著者: | Ogawa, Takayoshi Suguro, Takeshi Wakui, Hiroshi |
| 著者名の別形: | 勝呂, 剛志 |
| キーワード: | 35K15 35K55 35Q60 78A35 |
| 発行日: | Mar-2023 |
| 出版者: | Springer Nature |
| 誌名: | Calculus of Variations and Partial Differential Equations |
| 巻: | 62 |
| 号: | 2 |
| 論文番号: | 47 |
| 抄録: | 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. |
| 著作権等: | © The Author(s) 2022 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. |
| URI: | http://hdl.handle.net/2433/284972 |
| DOI(出版社版): | 10.1007/s00526-022-02345-x |
| 出現コレクション: | 学術雑誌掲載論文等 |
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