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Volumn 104, Issue 1, 2003, Pages 1-27

Homogenization of a nonlinear random parabolic partial differential equation

Author keywords

Homogenization of periodic PDEs; Homogenization of random PDEs; Stochastic partial differential equations

Indexed keywords


EID: 0037360847     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(02)00221-1     Document Type: Article
Times cited : (40)

References (10)
  • 2
    • 0003407041 scopus 로고
    • Convergence of Probability Measures
    • Wiley, New York
    • Billingsley, P., 1968. Convergence of Probability Measures. Wiley, New York.
    • (1968)
    • Billingsley, P.1
  • 3
    • 0000850179 scopus 로고
    • Asymptotic analysis of PDEs with wide-band noise disturbance; expansion of the moments
    • Bouc, R., Pardoux, E., 1984. Asymptotic analysis of PDEs with wide-band noise disturbance; expansion of the moments. J. Stochastic Anal. Appl. 2 (4), 369-422.
    • (1984) J. Stochastic Anal. Appl. , vol.2 , Issue.4 , pp. 369-422
    • Bouc, R.1    Pardoux, E.2
  • 5
    • 0003805690 scopus 로고
    • Stochastic Equations in Infinite Dimensions
    • Cambridge University Press, Cambridge
    • Da Prato, G., Zabczyk, J., 1992. Stochastic Equations in Infinite Dimensions. Cambridge University Press, Cambridge.
    • (1992)
    • Da Prato, G.1    Zabczyk, J.2
  • 6
    • 0004080182 scopus 로고
    • Homogenization of Differential Operators and Integral Functionals
    • Springer, Berlin
    • Jikov, V., Kozlov, S., Oleinik, O., 1994. Homogenization of Differential Operators and Integral Functionals. Springer, Berlin.
    • (1994)
    • Jikov, V.1    Kozlov, S.2    Oleinik, O.3
  • 7
    • 3543010166 scopus 로고    scopus 로고
    • Averaging of non-selfadjoint parabolic equations with random evolution, INRIA
    • Report 3951
    • Kleptsyna, M., Piatnitski, A., 2000. Averaging of non-selfadjoint parabolic equations with random evolution, INRIA. Report 3951.
    • (2000)
    • Kleptsyna, M.1    Piatnitski, A.2
  • 8
    • 0001573698 scopus 로고    scopus 로고
    • Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: A probabilistic approach
    • Pardoux, E., 1999. Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: a probabilistic approach. J. Funct. Anal. 167, 498-520.
    • (1999) J. Funct. Anal. , vol.167 , pp. 498-520
    • Pardoux, E.1
  • 9
    • 0035565829 scopus 로고    scopus 로고
    • On Poisson equation and diffusion approximation I
    • Pardoux, E., Veretennikov, A., 2001. On Poisson equation and diffusion approximation I. Ann. Probab. 29, 1061-1085.
    • (2001) Ann. Probab. , vol.29 , pp. 1061-1085
    • Pardoux, E.1    Veretennikov, A.2
  • 10
    • 0003805320 scopus 로고
    • Solutions Faibles d'Equations Dérivées Stochastiques Non Linéaires
    • Thèse, Université Paris VI
    • Viot, M., 1976. Solutions Faibles d'Equations Dérivées Stochastiques Non Linéaires. Thèse, Université Paris
    • (1976)
    • Viot, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.