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Více informací o knize Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Technology, engineering, agriculture Mechanical engineering & materials Materials science

• Plný název: Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
• Autor: Francis Nier, Bernard Helffer
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 209
• EAN: 9783540242000
• ISBN: 3540242007
• ID: 01560199
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 354 g
• Rozměry: 158 × 234 × 16 mm
• Datum vydání: 11. February 2005

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