Elliptic equations for infinite dimensional probability distributions and Lyapunov functions;Équations elliptiques pour des distributions de probabilités infini-dimensionnelles et fonctions de Lyapunov

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 329, Issue 8, 1999, Pages 705-710

  Bogachev, Vladimir ^a   Röckner, Michael ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033569285     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88221-X     Document Type: Article

References (8)

1. [1] Albeverio S., Kondratiev Yu.G., Röckner M., Tsykalenko T., A-priori estimates and existence of Gibbs measures: a simplified proof, C. R. Acad. Sci. Paris 328 (1999) 1049-1054.
2. [2] Albeverio S., Kondratiev Yu., Röckner M., Tsykalenko T., A-priori estimates on symmetrizing measures and their applications to Gibbs states, BiBoS Preprint, 1999.
3. [3] Bogachev V.I., Röckner M., Regularity of invariant measures on finite and infinite-dimensional spaces and applications, J. Funct. Anal. 133 (1995) 168-223.
4. [4] Bogachev V.I., Röckner M., Elliptic equations for measures on infinite-dimensional spaces and applications to Gibbs measures, Preprint SFB 343, 1999.
5. [5] Kirillov A.I., Infinite-dimensional analysis and quantum theory as semimartingale calculi, Uspekhi Mat. Nauk 49 (3) (1994) 43-92 (in Russian); English transl.: Russian Math. Surveys 49 (1994).
6. [5] Kirillov A.I., Infinite-dimensional analysis and quantum theory as semimartingale calculi, Uspekhi Mat. Nauk 49 (3) (1994)43-92 (in Russian); English transl.: Russian Math. Surveys 49 (1994).
7. ℤd par le calcul des variationes stochastiques, Ann. Inst. H. Poincaré 29 (1993) 327-338.
8. [7] Yamasaki Y., Hora A., Differentiable shifts for measures on infinite-dimensional spaces, Publ. RIMS, Kyoto Univ. 23 (1987) 275-296.