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Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
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Catalogue Information
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
Links to Related Works
Subject References:
Differential equations, Partial
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Fokker-Planck equation
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Global analysis
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Global Analysis and Analysis on Manifolds
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Hypoelliptic operators
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Partial differential equations
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Quantum Physics
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Quantum theory
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Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences
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Authors:
Helffer, Bernard
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Nier, Francis
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515.353 (DDC 22)
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