| 書目名稱 | Evolution Equations in Scales of Banach Spaces |
| 編輯 | Oliver Caps |
| 視頻video | http://file.papertrans.cn/318/317648/317648.mp4 |
| 概述 | Zusammenstellung aktueller Forschungsergebnisse |
| 叢書名稱 | Teubner-Texte zur Mathematik |
| 圖書封面 |  |
| 描述 | The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. The usual functional analytic methods for studying evolution equations are formu- lated within the setting of unbounded, closed operators in one Banach space. This setting is not adapted very well to the study of many pseudo differential and differential equations because these operators are naturally not given as closed, unbounded operators in one Banach space but as continuous opera- tors in a scale of function spaces. Thus, applications within the setting of unbounded, closed operators require a considerable amount of additional work because one has to construct suitable closed realizations of these operators. This choice of closed realizations is technically complicated even for simple applications. The main feature of the new functional analytic approach of the book is to study the operators in scales of Banach spaces that are constructed by simple reference operators. This is a natural setting for many operators acting in scales of function spaces. The operators are only expected to respect the scale and to satisfy certain inequal |
| 出版日期 | Textbook 2002 |
| 關鍵詞 | Applications to quasilinear evolution equations; Quasilinear evolution equations; Tools from functiona |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-322-80039-8 |
| isbn_softcover | 978-3-519-00376-2 |
| isbn_ebook | 978-3-322-80039-8Series ISSN 0138-502X |
| issn_series | 0138-502X |
| copyright | B. G. Teubner GmbH, Stuttgart/Leipzig/Wiesbaden 2002 |
|Archiver|手機版|小黑屋|
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