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Volumn , Issue , 2006, Pages 3077-3082

Some solutions of semilinear stochastic equations in a Hilbert space with a fractional Brownian motion

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; HILBERT SPACES; LINEAR CONTROL SYSTEMS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 39649085804     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377118     Document Type: Conference Paper
Times cited : (2)

References (23)
  • 1
    • 0035537291 scopus 로고    scopus 로고
    • Stochastic calculus with respect to Gaussian processes
    • E. Alòs, O. Mazet, and D. Nualart. Stochastic calculus with respect to Gaussian processes. Ann. Probab., 29(2):766-801, 2001.
    • (2001) Ann. Probab , vol.29 , Issue.2 , pp. 766-801
    • Alòs, E.1    Mazet, O.2    Nualart, D.3
  • 2
    • 33746302229 scopus 로고    scopus 로고
    • The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise
    • P. Caithamer. The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise. Stock. Dyn., 5(1):45-64, 2005.
    • (2005) Stock. Dyn , vol.5 , Issue.1 , pp. 45-64
    • Caithamer, P.1
  • 3
    • 0000609688 scopus 로고
    • Transformations of Wiener integrals under translations
    • R. H. Cameron and W. T. Martin. Transformations of Wiener integrals under translations. Ann. of Math. (2), 45:386-396, 1944.
    • (1944) Ann. of Math. (2) , vol.45 , pp. 386-396
    • Cameron, R.H.1    Martin, W.T.2
  • 4
    • 0003298203 scopus 로고
    • Stochastic equations in infinite dimensions
    • of, Cambridge University Press, Cambridge
    • G. Da Prato and J. Zabczyk. Stochastic equations in infinite dimensions, volume 44 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 1992.
    • (1992) Encyclopedia of Mathematics and its Applications , vol.44
    • Da Prato, G.1    Zabczyk, J.2
  • 5
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • L. Decreusefond and A. S. Üstünel. Stochastic analysis of the fractional Brownian motion. Potential Anal., 10(2): 177-214, 1999.
    • (1999) Potential Anal , vol.10 , Issue.2 , pp. 177-214
    • Decreusefond, L.1    Üstünel, A.S.2
  • 6
    • 39649101941 scopus 로고    scopus 로고
    • Some stochastic semilinear equations in Hubert space with fractional Brownian motion
    • J. Menaldi, E. Rofman, and A Sulem, editors, IOS Press, Amsterdam
    • T. E. Duncan. Some stochastic semilinear equations in Hubert space with fractional Brownian motion. In J. Menaldi, E. Rofman, and A Sulem, editors, Optimal Control and Partial Differential Equations, pages 241-247. IOS Press, Amsterdam, 2000.
    • (2000) Optimal Control and Partial Differential Equations , pp. 241-247
    • Duncan, T.E.1
  • 7
    • 34547557426 scopus 로고    scopus 로고
    • Some processes associated with a fractional Brownian motion
    • Amer. Math. Soc, Providence, RI
    • T. E. Duncan. Some processes associated with a fractional Brownian motion. In Mathematics of finance, volume 351 of Contemp. Math., pages 93-101. Amer. Math. Soc., Providence, RI, 2004.
    • (2004) Mathematics of finance, volume 351 of Contemp. Math , pp. 93-101
    • Duncan, T.E.1
  • 8
    • 33746283060 scopus 로고    scopus 로고
    • Stochastic integration for fractional Brownian motion in a Hilbert space
    • T. E. Duncan, J. Jakubowski, and B. Pasik-Duncan. Stochastic integration for fractional Brownian motion in a Hilbert space. Stock Dyn., 6:53-75, 2006.
    • (2006) Stock Dyn , vol.6 , pp. 53-75
    • Duncan, T.E.1    Jakubowski, J.2    Pasik-Duncan, B.3
  • 9
    • 21244441192 scopus 로고    scopus 로고
    • Stochastic equations in Hilbert space with a multiplicative fractionalGaussian noise
    • T. E. Duncan, B. Maslowski, and B. Pasik-Duncan. Stochastic equations in Hilbert space with a multiplicative fractionalGaussian noise. Stoc. Proc. Appl., 115:1357-1383, 2005.
    • (2005) Stoc. Proc. Appl , vol.115 , pp. 1357-1383
    • Duncan, T.E.1    Maslowski, B.2    Pasik-Duncan, B.3
  • 10
    • 0043071630 scopus 로고    scopus 로고
    • Fractional Brownian motion and stochastic equations in Hilbert spaces
    • T. E. Duncan, B. Pasik-Duncan, and B. Maslowski. Fractional Brownian motion and stochastic equations in Hilbert spaces. Stoch. Dyn., 2(2):225-250, 2002.
    • (2002) Stoch. Dyn , vol.2 , Issue.2 , pp. 225-250
    • Duncan, T.E.1    Pasik-Duncan, B.2    Maslowski, B.3
  • 11
    • 0039690133 scopus 로고
    • On transforming a class of stochastic processes by absolutely continuous substitution of measures
    • I. V. Girsanov. On transforming a class of stochastic processes by absolutely continuous substitution of measures. Teor. Verojatnost. i Primenen., 5:314-330, 1960.
    • (1960) Teor. Verojatnost. i Primenen , vol.5 , pp. 314-330
    • Girsanov, I.V.1
  • 12
    • 0033556963 scopus 로고    scopus 로고
    • A parabolic stochastic differential equation with fractional Brownianmotion input
    • W. Grecksch and V. V. Anh. A parabolic stochastic differential equation with fractional Brownianmotion input. Statist. Probab. Lett., 41(4):337-346, 1999.
    • (1999) Statist. Probab. Lett , vol.41 , Issue.4 , pp. 337-346
    • Grecksch, W.1    Anh, V.V.2
  • 13
    • 0001059286 scopus 로고    scopus 로고
    • Heat equations with fractional white noise potentials
    • Y. Hu. Heat equations with fractional white noise potentials. Appl. Math. Optim., 43(3):221-243, 2001.
    • (2001) Appl. Math. Optim , vol.43 , Issue.3 , pp. 221-243
    • Hu, Y.1
  • 14
    • 18144416186 scopus 로고    scopus 로고
    • Integral transformations and anticipative calculus for fractional Brownian motions
    • 175(825):viii+127
    • Y. Hu. Integral transformations and anticipative calculus for fractional Brownian motions. Mem. Amer. Math. Soc., 175(825):viii+127, 2005.
    • (2005) Mem. Amer. Math. Soc
    • Hu, Y.1
  • 15
    • 1642380843 scopus 로고    scopus 로고
    • General fractional multiparameter white noise theory and stochastic partial differential equations
    • Y. Hu, B. Øksendal, and T. Zhang. General fractional multiparameter white noise theory and stochastic partial differential equations. Comm. Partial Differential Equations, 29(1-2): 1-23, 2004.
    • (2004) Comm. Partial Differential Equations , vol.29 , Issue.1-2 , pp. 1-23
    • Hu, Y.1    Øksendal, B.2    Zhang, T.3
  • 16
    • 0042229456 scopus 로고    scopus 로고
    • Evolution equations driven by a fractional Brownian motion
    • B. Maslowski and D. Nualart. Evolution equations driven by a fractional Brownian motion. J. Funct. Anal, 202(1):277-305, 2003.
    • (2003) J. Funct. Anal , vol.202 , Issue.1 , pp. 277-305
    • Maslowski, B.1    Nualart, D.2
  • 17
    • 8344251617 scopus 로고    scopus 로고
    • Random dynamical systems and stationary solutions of differential equations driven by the fractional Brownian motion
    • B. Maslowski and B. Schmalfuss. Random dynamical systems and stationary solutions of differential equations driven by the fractional Brownian motion. Stochastic Anal Appl., 22(6): 1577-1607, 2004.
    • (2004) Stochastic Anal Appl , vol.22 , Issue.6 , pp. 1577-1607
    • Maslowski, B.1    Schmalfuss, B.2
  • 18
    • 0035981345 scopus 로고    scopus 로고
    • Onsager-Machlup functional for the fractional Brownian motion
    • S. Moret and D. Nualart. Onsager-Machlup functional for the fractional Brownian motion. Probab. Theory Related Fields, 124(2):227-260, 2002.
    • (2002) Probab. Theory Related Fields , vol.124 , Issue.2 , pp. 227-260
    • Moret, S.1    Nualart, D.2
  • 19
    • 0001714525 scopus 로고    scopus 로고
    • An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
    • I. Norros, E. Valkeila, and J. Virtamo. An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions. Bernoulli, 5(4):571-587, 1999.
    • (1999) Bernoulli , vol.5 , Issue.4 , pp. 571-587
    • Norros, I.1    Valkeila, E.2    Virtamo, J.3
  • 21
    • 0034562433 scopus 로고    scopus 로고
    • Integration questions related to fractional Brownianmotion
    • V. Pipiras and M. S. Taqqu. Integration questions related to fractional Brownianmotion. Probab. Theory Related Fields, 118(2):251-291, 2000.
    • (2000) Probab. Theory Related Fields , vol.118 , Issue.2 , pp. 251-291
    • Pipiras, V.1    Taqqu, M.S.2
  • 23
    • 0242339531 scopus 로고    scopus 로고
    • Stochastic evolution equations with fractional Brownian motion
    • S. Tindel, C. A. Tudor, and F. Viens. Stochastic evolution equations with fractional Brownian motion. Probab. Theory Related Fields, 127(2):186-204, 2003.
    • (2003) Probab. Theory Related Fields , vol.127 , Issue.2 , pp. 186-204
    • Tindel, S.1    Tudor, C.A.2    Viens, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.