Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians

The Resource Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
Label
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
Statement of responsibility
Bernard Helffer, Francis Nier
Creator
Contributor
Subject
Language
eng
Summary
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
Member of
Is part of
Cataloging source
GW5XE
Dewey number
  • 510 s
  • 515/.7242
Illustrations
illustrations
Index
index present
LC call number
QA3
LC item number
.L28 no. 1862
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1862
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