Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians - Lecture Notes in Mathematics - Francis Nier - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783540242000 - 2005. gada 11. februāris
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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

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2005. gada 11. februāris
ISBN13 9783540242000
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 209
Izmēri 234 × 158 × 16 mm   ·   326 g
Valoda Angļu   Vācu  

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