Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians - Lecture Notes in Mathematics - Francis Nier - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540242000 - February 11, 2005
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Francis Nier
Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians - Lecture Notes in Mathematics 2005 edition

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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.

209 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released February 11, 2005
ISBN13 9783540242000
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 209
Dimensions 234 × 158 × 16 mm   ·   326 g
Language English   German  

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