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

Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
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Field name Details
Dewey Class 515.353 (DDC 22)
Title Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians ([Ebook]) / edited by Bernard Helffer, Francis Nier.
Author Helffer, Bernard
Added Personal Name Nier, Francis
Other name(s) SpringerLink (Online service)
Publication Berlin ;Heidelberg : Springer-Verlag GmbH , 2005
Physical Details : v.: digital
Series Lecture Notes in Mathematics 0075-8434 ; ; 1862
ISBN 9783540315537
Summary Note 1. Introduction.- 2. Kohn's Proof of the Hypoellipticity of the Hoermander Operators.- 3. Compactness Criteria for the Resolvent of Schroedinger Operators.- 4. Global Pseudo-differential Calculus.- 5. Analysis of some Fokker-Planck Operator.- 6. Return to Equillibrium for the Fokker-Planck Operator.- 7. Hypoellipticity and nilpotent groups.- 8. Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts.- 9. On Fokker-Planck Operators and Nilpotent Techniques.- 10. Maximal Microhypoellipticity for Systems and Applications to Witten Laplacians.- 11. Spectral Properties of the Witten-Laplacians in Connection with Poincare inequalities for Laplace Integrals.- 12. Semi-classical Analysis for the Schroedinger Operator: Harmonic Approximation.- 13. Decay of Eigenfunctions and Application to the Splitting.- 14. Semi-classical Analysis and Witten Laplacians: Morse Inequalities.- 15. Semi-classical Analysis and Witten Laplacians: Tunneling Effects.- 16. Accurate Asymptotics for the Exponentially Small Eigenvalues of the Witten Laplacian.- 17. Application to the Fokker-Planck Equation.- 18. Epilogue.- References.- Index.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/b104762
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