| 書(shū)目名稱 | Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians | | 編輯 | Bernard Helffer,Francis Nier | | 視頻video | http://file.papertrans.cn/431/430771/430771.mp4 | | 概述 | Includes supplementary material: | | 叢書(shū)名稱 | Lecture Notes in Mathematics | | 圖書(shū)封面 |  | | 描述 | .There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-H?rmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schr?dinger-type operators, the Witten complexes, and the Morse inequalities.. | | 出版日期 | Book 2005 | | 關(guān)鍵詞 | Eigenvalue; Fokker-Planck operators; Hypoellipticity; Maximum; Witten Laplacians; calculus; compactness; co | | 版次 | 1 | | doi | https://doi.org/10.1007/b104762 | | isbn_softcover | 978-3-540-24200-0 | | isbn_ebook | 978-3-540-31553-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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