Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians: 1862 (Lecture Notes in Mathematics) - Tapa blanda

Nier, Francis

 
9783540242000: Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians: 1862 (Lecture Notes in Mathematics)
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ISBN 10: 3540242007 ISBN 13: 9783540242000
Editorial: Springer, 2005

Sinopsis

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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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2005
Idioma
Inglés
ISBN 10 
3540242007
ISBN 13 
9783540242000
Encuadernación
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Número de páginas
228
Contacto del fabricante
no disponible
Persona responsable
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Otras ediciones populares con el mismo título

9783540806424: Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

Edición Destacada

ISBN 10:  3540806423 ISBN 13:  9783540806424
Editorial: Springer, 2009
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