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The permanence of R-boundedness and property(α) under interpolation and applications to parabolic systems
http://hdl.handle.net/2261/55431
http://hdl.handle.net/2261/55431bcb1cbcb-9ae0-4496-b9e7-255c31e60cd6
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms190306.pdf (347.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2013-10-23 | |||||
| タイトル | ||||||
| タイトル | The permanence of R-boundedness and property(α) under interpolation and applications to parabolic systems | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Interpolation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | R-boundedness | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | maximal regularity | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | parabolic systems | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
Kaip, Mario
× Kaip, Mario× Saal, Jürgen |
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| 著者所属 | ||||||
| 値 | Department of Mathematics, University of Konstanz | |||||
| 著者所属 | ||||||
| 値 | Center of Smart Interfaces, TU Darmstadt | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | This note consists of two parts. In the first part we consider the behavior of R-boundedness, R-sectoriality, and property(α) under the interpolation of Banach spaces. In a general setting we prove that for interpolation functors of type h the R-boundedness, the R-sectoriality, and the property(α) preserve under interpolation. In particular, this is true for the standard real and complex interpolation methods. (Partly, these results were indicated in [12], however, with just a very brief outline of their proofs.) The second part represents an application of the first part. We prove R-sectoriality, or equivalently, maximal Lp-regularity for a general class of parabolic systems on interpolation spaces including scales of Besov- and Bessel-potential spaces over Rn. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 3, p. 359-407, 発行日 2012-10-22 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| 値 | MR | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 46B70(MSC2010) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 47F05(MSC2010) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 35K41(MSC2010) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 35K46(MSC2010) | |||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 値 | 2012-04-06 | |||||
