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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

Nier, Francis
Helffer, Bernard

Paperback

Series: Lecture Notes in Mathematics, Book 1862

General MathematicsPhysics

ISBN10: 3540242007
ISBN13: 9783540242000
Publisher: Springer
Published: Feb 11 2005
Pages: 209
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English

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.

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