Spectral properties of hypoelliptic operators

Communications in Mathematical Physics

Volumn 235, Issue 2, 2003, Pages 233-253

  Eckmann, J P ^a   Hairer, M ^a,b  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037631305     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0805-9     Document Type: Article

References (13)

1. [BC94] Bony, J.-M., Chemin, J.-Y.: Espaces fonctionnels associés au calcul de Weyl-Hörmander. Bull. Soc. Math. France 122(1), 77-118 (1994)
2. [EH00] Eckmann, J.-P., Hairer, M.: Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Commun. Math. Phys. 212(1), 105-164 (2000)
3. [EPR99a] Eckmann, J.-P., Pillet, C.-A., Rey-Bellet, L.: Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures. Commun. Math. Phys. 201, 657-697 (1999)
4. [EPR99b] Eckmann, J.-P., Pillet, C.-A., Rey-Bellet, L.: Entropy production in non-linear, thermally driven hamiltonian systems. J. Stat. Phys. 95, 305-331 (1999)
5. [HN02] Héran, F., Nier, F.: Isotropic hypoellipticity and trend to equilibrium for the Fokker-Planck equation with high degree potential, 2002. Preprint
6. [Hör85] Hörmander, L.: The Analysis of Linear Partial Differential Operators I-IV. New York: Springer, 1985
7. [HT94a] Haroske, D., Triebel, H.: Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. I. Math. Nachr. 167, 131-156 (1994)
8. [HT94b] Haroske, D., Triebel, H.: Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. II. Math. Nachr. 168, 109-137 (1994)
9. [Kat61] Kato, T.: A generalization of the Heinz inequality. Proc. Japan Acad. 37, 305-308 (1961)
10. [KS59] Krasnosel'skiǐ, M.A., Sobolevskiǐ, P.E.: Fractional powers of operators acting in Banach spaces. Dokl. Akad. Nauk SSSR 129, 499-502 (1959)
11. [RBT00] Rey-Bellet, L., Thomas, L.E.: Asymptotic behavior of thermal nonequilibrium steady states for a driven chain of anharmonic oscillators. Commun. Math. Phys. 215(1), 1-24 (2000)
12. [RBT02a] Rey-Bellet, L., Thomas, L.: Fluctuations of the entropy production in anharmonic chains, 2002. To be published in Ann. Henri Poincaré
13. [RBT02b] Rey-Bellet, L., Thomas. L.E.: Exponential convergence to non-equilibrium stationary states in classical statistical mechanics. Commun. Math. Phys. 225(2), 305-329 (2002)