Poincaré Inequality for Some Measures in Hilbert Spaces and Application to Spectral Gap for Transition Semigroups

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 25, Issue 3-4, 1997, Pages 419-431

  da Prato, Giuseppe ^a  

^a SCUOLA NORMALE SUPERIORE   (Italy)

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EID: 27144432632     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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5. G. DA PRATO - J. ZABCZYK, "Ergodicity for Infinite Dimensional Systems", London Mathematical Society Lecture Notes, 1996.
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7. Z. M. MA - M. ROCKNER, "Introduction to the Theory of (Non Symmetric) Dirichlet Forms", Springer-Verlag, 1992.
8. D. W. STROOCK - B. ZEGARLINSKI, The logaritmic Sobolev inequality for discrete spin systems on a lattice. Commun. Math. Phys. 149 (1992), 175-193.
9. B. ZEGARLINSKI, The strong exponential decay to equilibrium for the stochastic dynamics associated to the unbounded spin systems on a lattice, preprint.