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Volumn 316, Issue 2, 2006, Pages 447-458

Euler-Maruyama approximations for SDEs with non-Lipschitz coefficients and applications

Author keywords

Anticipative SDE; Euler Maruyama approximation; Large deviation; Non Lipschitz

Indexed keywords


EID: 29844450895     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.04.052     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 0037147380 scopus 로고    scopus 로고
    • Modulus of continuity of the canonic Brownian motion "on the group of diffeomorphisms of the circle"
    • H. Airault J. Ren Modulus of continuity of the canonic Brownian motion "on the group of diffeomorphisms of the circle" J. Funct. Anal. 196 2002 395-426
    • (2002) J. Funct. Anal. , vol.196 , pp. 395-426
    • Airault, H.1    Ren, J.2
  • 2
    • 34250577382 scopus 로고
    • A generalization of a lemma of Bellman and its application to uniqueness problem of differential equations
    • I. Bihari A generalization of a lemma of Bellman and its application to uniqueness problem of differential equations Acta. Math. Acad. Sci. Hungar. 7 1956 71-94
    • (1956) Acta. Math. Acad. Sci. Hungar. , vol.7 , pp. 71-94
    • Bihari, I.1
  • 3
    • 25644454863 scopus 로고    scopus 로고
    • On stochastic differential equations with locally unbounded drift
    • I. Gyöngy T. Martinez On stochastic differential equations with locally unbounded drift Czechoslovak Math. J. 51 2001 763-783
    • (2001) Czechoslovak Math. J. , vol.51 , pp. 763-783
    • Gyöngy, I.1    Martinez, T.2
  • 6
    • 75749090708 scopus 로고    scopus 로고
    • Strong solutions of stochastic equations with singular time dependent drift
    • preprint
    • N.V. Krylov, M. Röckner, Strong solutions of stochastic equations with singular time dependent drift, preprint
    • Krylov, N.V.1    Röckner, M.2
  • 7
    • 0033177056 scopus 로고    scopus 로고
    • The canonic diffusion above the diffeomorphism group of the circle
    • P. Malliavin The canonic diffusion above the diffeomorphism group of the circle C. R. Acad. Sci. Paris Sér. I 329 1999 325-329
    • (1999) C. R. Acad. Sci. Paris Sér. I , vol.329 , pp. 325-329
    • Malliavin, P.1
  • 8
    • 21144472340 scopus 로고
    • Quasi sure analysis and Stratonovich anticipative stochastic differential equations
    • P. Malliavin D. Nualart Quasi sure analysis and Stratonovich anticipative stochastic differential equations Probab. Theory Related Fields 96 1993 45-55
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 45-55
    • Malliavin, P.1    Nualart, D.2
  • 9
    • 0000535958 scopus 로고
    • Large deviations for a class of anticipating stochastic differential equations
    • A. Millet D. Nualart M. Sanz Large deviations for a class of anticipating stochastic differential equations Ann. Probab. 20 1992 1902-1931
    • (1992) Ann. Probab. , vol.20 , pp. 1902-1931
    • Millet, A.1    Nualart, D.2    Sanz, M.3
  • 10
  • 11
    • 0002383320 scopus 로고
    • A generalized Itô-Ventzell formula. Applications to a class of anticipating stochastic differential equation
    • D. Ocone E. Pardoux A generalized Itô-Ventzell formula. Applications to a class of anticipating stochastic differential equation Ann. Inst. H. Poincaré Sect. B 25 1989 39-71
    • (1989) Ann. Inst. H. Poincaré Sect. B , vol.25 , pp. 39-71
    • Ocone, D.1    Pardoux, E.2
  • 12
    • 18844384199 scopus 로고    scopus 로고
    • Schilder theorem for the Brownian motion on the diffeomorphism group of the circle
    • in press
    • J. Ren, X. Zhang, Schilder theorem for the Brownian motion on the diffeomorphism group of the circle, J. Funct. Anal. (2005), in press
    • (2005) J. Funct. Anal.
    • Ren, J.1    Zhang, X.2
  • 13
    • 24644487849 scopus 로고    scopus 로고
    • Freidlin-Wentzell's large deviations for homeomorphism flows of non-Lipschitz SDEs
    • in press
    • J. Ren, X. Zhang, Freidlin-Wentzell's large deviations for homeomorphism flows of non-Lipschitz SDEs, Bull. Sci. Math. (2005), in press
    • (2005) Bull. Sci. Math.
    • Ren, J.1    Zhang, X.2
  • 14
    • 38249010994 scopus 로고
    • Successive approximations to solutions of stochastic differential equations
    • T. Taniguchi Successive approximations to solutions of stochastic differential equations J. Differential Equations 96 1992 152-169
    • (1992) J. Differential Equations , vol.96 , pp. 152-169
    • Taniguchi, T.1
  • 15
    • 0002128259 scopus 로고
    • On the strong solutions of stochastic differential equations
    • A.Ju. Veretennikov On the strong solutions of stochastic differential equations Theory Probab. Appl. 24 1979 354-366
    • (1979) Theory Probab. Appl. , vol.24 , pp. 354-366
    • Veretennikov, A.Ju.1
  • 16
    • 0008215982 scopus 로고
    • On the uniqueness of solutions of stochastic differential equations
    • T. Yamada S. Watanabe On the uniqueness of solutions of stochastic differential equations J. Math. Kyoto Univ. 11 1971 553-563
    • (1971) J. Math. Kyoto Univ. , vol.11 , pp. 553-563
    • Yamada, T.1    Watanabe, S.2
  • 17
    • 13344260668 scopus 로고    scopus 로고
    • Homeomorphic flows for multi dimensional SDEs with non-Lipschitz coefficients
    • X. Zhang Homeomorphic flows for multi dimensional SDEs with non-Lipschitz coefficients Stochastic Process. Appl. 115 2005 435-448
    • (2005) Stochastic Process. Appl. , vol.115 , pp. 435-448
    • Zhang, X.1
  • 18
    • 29844436861 scopus 로고    scopus 로고
    • Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients
    • preprint
    • X. Zhang, Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients, preprint
    • Zhang, X.1
  • 19
    • 0001709245 scopus 로고
    • A transformation of the phase space of a diffusion process that removes the drift
    • A.K. Zvonkin A transformation of the phase space of a diffusion process that removes the drift Mat. Sb. 93 1974
    • (1974) Mat. Sb. , vol.93
    • Zvonkin, A.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.