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Volumn 79, Issue 1, 2009, Pages 85-106

Asymptotic behavior and hypercontractivity in non-autonomous Ornstein-Uhlenbeck equations

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EID: 58449104678     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/jlms/jdn057     Document Type: Article
Times cited : (20)

References (14)
  • 2
    • 0039337711 scopus 로고    scopus 로고
    • Nonsymmetric Ornstein-Uhlenbeck operator a second quantized operator
    • A. CHOJNOWSKA-MICHALIK and B. GOLDYS, 'Nonsymmetric Ornstein-Uhlenbeck operator a second quantized operator', J. Math. Kyoto Univ. 36 (1996) 481-498.
    • (1996) J. Math. Kyoto Univ , vol.36 , pp. 481-498
    • CHOJNOWSKA-MICHALIK, A.1    GOLDYS, B.2
  • 3
    • 38749117942 scopus 로고    scopus 로고
    • Ornstein-Uhlenbeck operators with time periodic coefficients
    • G. DA PRATO and A. LUNARDI, 'Ornstein-Uhlenbeck operators with time periodic coefficients', J. Evol. Equ. 7 (2005) 587-614.
    • (2005) J. Evol. Equ , vol.7 , pp. 587-614
    • DA PRATO, G.1    LUNARDI, A.2
  • 4
    • 85027225210 scopus 로고    scopus 로고
    • G. DA PRATO and M. RÖCKNER, 'A note on non autonomous stochastic differential equations', Proceedings of the 5th Seminar on Stochastic Analysis, Random Fields and Applications, Ascona 2005 (ed. R. Dalang, M. Dozzi and F. Russo), Progress in Probability 59 (Birkhäuser, Basel, 2008).
    • G. DA PRATO and M. RÖCKNER, 'A note on non autonomous stochastic differential equations', Proceedings of the 5th Seminar on Stochastic Analysis, Random Fields and Applications, Ascona 2005 (ed. R. Dalang, M. Dozzi and F. Russo), Progress in Probability 59 (Birkhäuser, Basel, 2008).
  • 5
    • 0002516514 scopus 로고
    • Three classes of infinite-dimensional diffusions
    • E. B. DYNKIN, 'Three classes of infinite-dimensional diffusions', J. Funct. Anal. 86 (1989) 75-110.
    • (1989) J. Funct. Anal , vol.86 , pp. 75-110
    • DYNKIN, E.B.1
  • 6
    • 0003215222 scopus 로고    scopus 로고
    • One-parameter semigroups for linear evolution equations
    • Springer, New York
    • K.-J. ENGEL and R. NAGEL, One-parameter semigroups for linear evolution equations, Graduate Texts in Mathematics 194 (Springer, New York, 2000).
    • (2000) Graduate Texts in Mathematics , vol.194
    • ENGEL, K.-J.1    NAGEL, R.2
  • 7
    • 21944435522 scopus 로고    scopus 로고
    • Hypercontractivity properties of nonsymmetric Ornstein-Uhlenbeck semigroups in Hubert spaces
    • M. FUHRMAN, 'Hypercontractivity properties of nonsymmetric Ornstein-Uhlenbeck semigroups in Hubert spaces', Stoch. Anal. Appl. 16 (1998) 241-260.
    • (1998) Stoch. Anal. Appl , vol.16 , pp. 241-260
    • FUHRMAN, M.1
  • 8
    • 44649098235 scopus 로고    scopus 로고
    • 2 regularity for nonautonomous Ornstein-Uhlenbeck equations
    • 2 regularity for nonautonomous Ornstein-Uhlenbeck equations', J. Lond. Math. Soc. 2 (2008) 719-740.
    • (2008) J. Lond. Math. Soc , vol.2 , pp. 719-740
    • GEISSERT, M.1    LUNARDI, A.2
  • 10
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • L. GROSS, 'Logarithmic Sobolev inequalities', Amer. J. Math. 97 (1975) 1061-1083.
    • (1975) Amer. J. Math , vol.97 , pp. 1061-1083
    • GROSS, L.1
  • 11
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer, New York
    • D. HENRY, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics 840 (Springer, New York, 1981).
    • (1981) Lecture Notes in Mathematics , vol.840
    • HENRY, D.1
  • 12
    • 0003242243 scopus 로고
    • Brownian motion and stochastic calculus
    • 2nd edn, Springer, New York
    • I. KARATZAS and S. E. SHREVE, Brownian motion and stochastic calculus, 2nd edn, Graduate Texts in Mathematics 113 (Springer, New York, 1991).
    • (1991) Graduate Texts in Mathematics , vol.113
    • KARATZAS, I.1    SHREVE, S.E.2
  • 13
    • 0001468782 scopus 로고
    • Evolutionary semigroups and Lyapunov theorems in Banach spaces
    • Y. LATUSHKIN and S. MONTGOMERY-SMITH, 'Evolutionary semigroups and Lyapunov theorems in Banach spaces', J. Funct. Anal. 127 (1995) 173-197.
    • (1995) J. Funct. Anal , vol.127 , pp. 173-197
    • LATUSHKIN, Y.1    MONTGOMERY-SMITH, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.