The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential

Giuseppe Da Prato

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 501-519
  • ISSN: 0392-4041

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Da Prato, Giuseppe. "The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 501-519. <http://eudml.org/doc/195622>.

@article{DaPrato1998,
author = {Da Prato, Giuseppe},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {selfadjoint negative operator; Gaussian measure; ergodicity; spectral gap},
language = {eng},
month = {10},
number = {3},
pages = {501-519},
publisher = {Unione Matematica Italiana},
title = {The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential},
url = {http://eudml.org/doc/195622},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Da Prato, Giuseppe
TI - The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 501
EP - 519
LA - eng
KW - selfadjoint negative operator; Gaussian measure; ergodicity; spectral gap
UR - http://eudml.org/doc/195622
ER -

References

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  1. ALBEVERIO, S.- BOGACHEV, V. I.- RÖCKNER, M., Dirichlet operators via stochastic analysis, J. Functional Analysis, 128, n. 1 (1995), 102-138. Zbl0820.60042MR1317712
  2. BAKRY, D.- EMERY, M., Diffusions hypercontractives, Séminaire de Probabilitées XIX, Lecture Notes in Math.1123 (1985), 177-206. Zbl0561.60080MR889476
  3. BOGACHEV, V. I.- RÖCKNER, M.- SCHMULAND, B., Generalized Mehler semigroups and applications, Probability and Related Fields, 114 (1996) 193-225. Zbl0849.60066MR1392452
  4. DA PRATO, G., Applications croissantes et équations d'évolutions dans les espaces de Banach, Academic Press, 1976. Zbl0352.47002MR500309
  5. DA PRATO, G., Regularity results for Kolmogorov equations on L 2 ⁢ H , μ spaces and applications, Ukr. Mat. J., 49, n. 3 (1997), 448-457. Zbl0940.60073MR1472229
  6. DA PRATO, G., Characterization of the domain of an elliptic operator of infinitely many variables in L 2 ⁢ μ spaces, Rend. Mat. Acc. Lincei, s. 9, 8 (1997), 101-105. Zbl0899.47035MR1485321
  7. DA PRATO, G.- ZABCZYK, J., Ergodicity for Infinite Dimensional Systems, London Mathematical Society Lecture Notes, 1996. Zbl0849.60052MR1417491
  8. FUHRMAN, M., Analyticity of transition semigroups and closability of bilinear forms in Hilbert spaces, Studia Mathematica, 115 (1995), 53-71. Zbl0830.47033MR1347432
  9. MA, Z. M.- RÖCKNER, M., Introduction to the Theory of (Non Symmetric) Dirichlet Forms, Springer-Verlag, 1992. Zbl0826.31001MR1214375

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