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Volumn 111, Issue 1, 1998, Pages 101-122

On a class of stochastic partial differential equations related to turbulent transport

Author keywords

Stochastic parabolic differential equations; White noise analysis

Indexed keywords


EID: 0032071440     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050163     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 0031167599 scopus 로고    scopus 로고
    • A white noise approach to a class of nonlinear stochastic heat equations
    • Benth, F.E., Deck, T., Potthoff, J.: A white noise approach to a class of nonlinear stochastic heat equations. J. Funct. Anal., 146, 382-415 (1997)
    • (1997) J. Funct. Anal. , vol.146 , pp. 382-415
    • Benth, F.E.1    Deck, T.2    Potthoff, J.3
  • 2
    • 0011379854 scopus 로고    scopus 로고
    • Nonlinear evolution equations with gradient coupled noise
    • Benth, F.E., Deck, T., Potthoff, J., Streit, L.: Nonlinear evolution equations with gradient coupled noise: Lett. Math. Phys., 43, 267-278 (1998)
    • (1998) Lett. Math. Phys. , vol.43 , pp. 267-278
    • Benth, F.E.1    Deck, T.2    Potthoff, J.3    Streit, L.4
  • 3
    • 34249976458 scopus 로고
    • Generalized solution of some parabolic equations with a random drift
    • Chow, P.L.: Generalized solution of some parabolic equations with a random drift. J. Appl. Math. Optimization 20, 81-96 (1989)
    • (1989) J. Appl. Math. Optimization , vol.20 , pp. 81-96
    • Chow, P.L.1
  • 8
    • 0020877029 scopus 로고
    • Wiener-Hermite expansion of a process generated by an Itô stochastic differential equation
    • Isobe, E., Sato, S.: Wiener-Hermite expansion of a process generated by an Itô stochastic differential equation. J. Appl. Prob., 20, 754-765 (1983)
    • (1983) J. Appl. Prob. , vol.20 , pp. 754-765
    • Isobe, E.1    Sato, S.2
  • 9
    • 0030295443 scopus 로고    scopus 로고
    • Generalized functionals in Gaussian spaces - The characterization theorem revisited
    • Kondratiev, Y.G., Leukert, P., Potthoff, J., Streit, L., Westerkamp, W.: Generalized functionals in Gaussian spaces - The characterization theorem revisited, J. Funct. Anal., 141, 301-318 (1996)
    • (1996) J. Funct. Anal. , vol.141 , pp. 301-318
    • Kondratiev, Y.G.1    Leukert, P.2    Potthoff, J.3    Streit, L.4    Westerkamp, W.5
  • 10
    • 0000931460 scopus 로고
    • On the Cauchy problem for linear stochastic partial differential equations
    • Krylov, N.V., Rozovskii, B.L.: On the Cauchy problem for linear stochastic partial differential equations, Math. USSR IZV. Vol. 11, No. 6, 1267-1284 (1977)
    • (1977) Math. USSR IZV. , vol.11 , Issue.6 , pp. 1267-1284
    • Krylov, N.V.1    Rozovskii, B.L.2
  • 13
    • 38249022603 scopus 로고
    • Generalized Brownian functionals and the solution to a stochastic partial differential equation
    • Nualart, D., Zakai, M.: Generalized Brownian functionals and the solution to a stochastic partial differential equation. J. Funct. Anal., 84, 279-296 (1989)
    • (1989) J. Funct. Anal. , vol.84 , pp. 279-296
    • Nualart, D.1    Zakai, M.2
  • 14
    • 0010995842 scopus 로고
    • White noise approach to parabolic stochastic partial differential equations
    • editors Cardoso, A.I., de Faria, M., Potthoff, J., Sénéor, R., Streit, L. Kluwer Academic Publishers
    • Potthoff, J.: White noise approach to parabolic stochastic partial differential equations, in: "Stochastic Analysis and Applications in Physics", editors Cardoso, A.I., de Faria, M., Potthoff, J., Sénéor, R., Streit, L. Kluwer Academic Publishers 1994
    • (1994) Stochastic Analysis and Applications in Physics
    • Potthoff, J.1
  • 15
    • 0000628868 scopus 로고
    • A characterization of Hida distributions
    • Potthoff, J., Streit, L.: A characterization of Hida distributions. J. Funct. Anal., 101, 212-229 (1991)
    • (1991) J. Funct. Anal. , vol.101 , pp. 212-229
    • Potthoff, J.1    Streit, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.