| 書目名稱 | Complexes of Differential Operators |
| 編輯 | Nikolai N. Tarkhanov |
| 視頻video | http://file.papertrans.cn/232/231634/231634.mp4 |
| 叢書名稱 | Mathematics and Its Applications |
| 圖書封面 |  |
| 描述 | This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of complexes of differential operators, the following directions were delineated: 1) the formal theory; 2) the existence theory; 3) the problem of global solvability; 4) overdetermined boundary problems; 5) the generalized Lefschetz theory of fixed points, and 6) the qualitative theory of solutions of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the |
| 出版日期 | Book 1995 |
| 關(guān)鍵詞 | Argument principle; Cauchy problem; Hodge theory; Tensor; differential equation; differential operator; ma |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-011-0327-5 |
| isbn_softcover | 978-94-010-4144-7 |
| isbn_ebook | 978-94-011-0327-5 |
| copyright | Springer Science+Business Media Dordrecht 1995 |
|Archiver|手機(jī)版|小黑屋|
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