Download Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians eBook in PDF

(By Bernard Helffer, Francis Nier)



Click here to Download and Read Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians eBook

Format: PDF

Language: English

Publisher: Springer



There has been recently 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-H?rmander pseudo-differential calculus, the spectral theory of non self-adjoint operators, the semi-classical analysis of Schr?dinger type operators, the Witten complexes and the Morse inequalities.



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