Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
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 an...
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| Autor principal: | |
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| Outros Autores: | |
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2005. |
| coleção: | Lecture Notes in Mathematics
1862 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians, Bernard Helffer, Francis Nier, 2005, Berlin, Springer, 1 vol. (X-209 p.), Lecture notes in mathematics, 3-540-24200-7 |
Sumário:
- Kohn's Proof of the Hypoellipticity of the Hörmander Operators Compactness Criteria for the Resolvent of Schrödinger Operators Global Pseudo-differential Calculus Analysis of some Fokker-Planck Operator Return to Equillibrium for the Fokker-Planck Operator Hypoellipticity and Nilpotent Groups Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts On Fokker-Planck Operators and Nilpotent Techniques Maximal Microhypoellipticity for Systems and Applications to Witten Laplacians Spectral Properties of the Witten-Laplacians in Connection with Poincaré Inequalities for Laplace Integrals Semi-classical Analysis for the Schrödinger Operator: Harmonic Approximation Decay of Eigenfunctions and Application to the Splitting Semi-classical Analysis and Witten Laplacians: Morse Inequalities Semi-classical Analysis and Witten Laplacians: Tunneling Effects Accurate Asymptotics for the Exponentially Small Eigenvalues of the Witten Laplacian Application to the Fokker-Planck Equation Epilogue Index