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Volumn 132, Issue 3, 2005, Pages 356-390

A study of a class of stochastic differential equations with non-Lipschitzian coefficients

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EID: 21644489601     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-004-0398-z     Document Type: Article
Times cited : (127)

References (23)
  • 1
    • 0002053916 scopus 로고    scopus 로고
    • Grande deviations et applications
    • [A] Springer-Verlag
    • [A] Azencott, R.: Grande deviations et applications. Lect. Notes in Math. Vol 774, Springer-Verlag
    • Lect. Notes in Math. , vol.774
    • Azencott, R.1
  • 4
    • 21644471233 scopus 로고
    • Non confluence des solutions d'une equation stochastique lipschitzienne
    • [Em] Pringer, Berlin Heidelberg New York
    • [Em] Emery, M.: Non confluence des solutions d'une equation stochastique lipschitzienne. Seminaire Proba. XV. Lecture Notes in Mathematics, vol. 850 (587-589) Pringer, Berlin Heidelberg New York 1981
    • (1981) Seminaire Proba. XV. Lecture Notes in Mathematics , vol.850 , Issue.587-589
    • Emery, M.1
  • 5
    • 0036909159 scopus 로고    scopus 로고
    • Canonical Brownian motion on the diffeomorphism group of the circle
    • [F]
    • [F] Fang, S.: Canonical Brownian motion on the diffeomorphism group of the circle. J. Funct. Anal. 196, 162-179 (2002)
    • (2002) J. Funct. Anal. , vol.196 , pp. 162-179
    • Fang, S.1
  • 7
    • 0346903369 scopus 로고    scopus 로고
    • Stochastic differential equations with non-Lipschitz coefficients: Pathwise uniqueness and no explosion
    • [FZ1]
    • [FZ1] Fang, S., Zhang, T.S.: Stochastic differential equations with non-Lipschitz coefficients: pathwise uniqueness and no explosion. C.R. Acad. Sci. Paris Ser. I. 337, 737-740 (2003)
    • (2003) C.R. Acad. Sci. Paris Ser. I , vol.337 , pp. 737-740
    • Fang, S.1    Zhang, T.S.2
  • 8
    • 0033173861 scopus 로고    scopus 로고
    • On the small time behavior of Ornstein-uhlenbeck processes with unbounded linear drifts
    • [FZ2]
    • [FZ2] Fang, S., Zhang,T.S.: On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drifts. Probability Theory and Related Fields 114 (4), 487-504 (1999)
    • (1999) Probability Theory and Related Fields , vol.114 , Issue.4 , pp. 487-504
    • Fang, S.1    Zhang, T.S.2
  • 9
    • 0035591589 scopus 로고    scopus 로고
    • Large deviations for the Brownian motion on loop groups
    • [FZ3]
    • [FZ3] Fang, S., Zhang, T.S.: Large deviations for the Brownian motion on loop groups. Journal of Theoretical Probability 14 (2), 463-483 (2001)
    • (2001) Journal of Theoretical Probability , vol.14 , Issue.2 , pp. 463-483
    • Fang, S.1    Zhang, T.S.2
  • 12
    • 12244258008 scopus 로고
    • Uniqueness theorems and successive approximations
    • [La]
    • [La] LaSalle, J.: Uniqueness theorems and successive approximations. Annals of Mathematics 50 (3), 722-730 (1949)
    • (1949) Annals of Mathematics , vol.50 , Issue.3 , pp. 722-730
    • Lasalle, J.1
  • 13
    • 0036547546 scopus 로고    scopus 로고
    • Integration of Brownian vector fields
    • [IJR1]
    • [IJR1] Le Jan, Y., Raimond, O.: Integration of Brownian vector fields. Annals of Prob. 30 (2), 826-873 (2002)
    • (2002) Annals of Prob. , vol.30 , Issue.2 , pp. 826-873
    • Le Jan, Y.1    Raimond, O.2
  • 15
    • 0033177056 scopus 로고    scopus 로고
    • The Canonical diffusion above the diffeomorphism group of the circle
    • [Ma]
    • [Ma] Malliavin, P.: The Canonical diffusion above the diffeomorphism group of the circle. C.R. Acad. Sci. Paris, Série I 329, 325-329 (1999)
    • (1999) C.R. Acad. Sci. Paris, Série I , vol.329 , pp. 325-329
    • Malliavin, P.1
  • 18
    • 0344939351 scopus 로고    scopus 로고
    • Continuous martingales and Brownian motion
    • [RY] Springer-Verlag
    • [RY] Revuz, D., Yor, M.: Continuous martingales and Brownian motion. Grund. der Math. Wissenschaften 293, 1991, Springer-Verlag
    • Grund. der Math. Wissenschaften , vol.293 , pp. 1991
    • Revuz, D.1    Yor, M.2
  • 21
    • 0002171410 scopus 로고
    • On the strong comparison theorems for solutions of stochastic differential equations
    • [YO]
    • [YO] Yamada, T., Ogura, Y.: On the strong comparison theorems for solutions of stochastic differential equations. Z. Wahrscheinlichkeitstheorie verw. Gebiete 56, 3-19 (1981)
    • (1981) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.56 , pp. 3-19
    • Yamada, T.1    Ogura, Y.2
  • 22
    • 0034345577 scopus 로고    scopus 로고
    • On the small time asymptotics of diffusions on Hilbert spaces
    • [Z1]
    • [Z1] Zhang, T.S.: On the small time asymptotics of diffusions on Hilbert spaces. Annals of Probability 28 (2), 537-557 (2000)
    • (2000) Annals of Probability , vol.28 , Issue.2 , pp. 537-557
    • Zhang, T.S.1
  • 23
    • 0042409323 scopus 로고    scopus 로고
    • A large deviation principle of diffusions on configuration spaces
    • [Z2]
    • [Z2] Zhang, T.S.: A large deviation principle of diffusions on configuration spaces. Stochastic Processes and Applications 91, 239-254 (2001)
    • (2001) Stochastic Processes and Applications , vol.91 , pp. 239-254
    • Zhang, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.