| 書(shū)目名稱(chēng) | Global Pseudo-differential Calculus on Euclidean Spaces |
| 編輯 | Fabio Nicola,Luigi Rodino |
| 視頻video | http://file.papertrans.cn/387/386537/386537.mp4 |
| 概述 | Addresses global pseudo-differential calculus and hypoellipticity.Includes classic calculus as a special case.Gives several applications to global problems in Euclidean spaces, including non-linear PD |
| 叢書(shū)名稱(chēng) | Pseudo-Differential Operators |
| 圖書(shū)封面 |  |
| 描述 | This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations.The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators.Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace.Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied. |
| 出版日期 | Book 2010 |
| 關(guān)鍵詞 | Schr?dinger operator; calculus; differential equation; hypoelliptic operator; pseudo-differential calcul |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7643-8512-5 |
| isbn_softcover | 978-3-7643-8511-8 |
| isbn_ebook | 978-3-7643-8512-5Series ISSN 2297-0355 Series E-ISSN 2297-0363 |
| issn_series | 2297-0355 |
| copyright | Birkh?user Basel 2010 |
|Archiver|手機(jī)版|小黑屋|
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