| 书目名称 | Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians |
| 编辑 | Bernard Helffer,Francis Nier |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 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-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.. |
| 出版日期 | Book 2005 |
| 关键词 | 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 |
发表于 2025-3-21 17:02:00
