메뉴 건너뛰기




Volumn 38, Issue 1, 1998, Pages 95-107

Generalized solutions of linear parabolic stochastic partial differential equations

Author keywords

Feynman Kac formula; Girsanov formula; S transform; Stochastic partial differential equations; White noise analysis

Indexed keywords

BROWNIAN MOVEMENT; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING; WHITE NOISE;

EID: 0032123166     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459900083     Document Type: Article
Times cited : (11)

References (18)
  • 1
    • 0042884696 scopus 로고
    • A functional process solution to a stochastic partial differential equation with applications to nonlinear filtering
    • Benth FE (1994) A functional process solution to a stochastic partial differential equation with applications to nonlinear filtering, Stochastics 51:195-216
    • (1994) Stochastics , vol.51 , pp. 195-216
    • Benth, F.E.1
  • 2
    • 11744387150 scopus 로고    scopus 로고
    • A generalized Feynman-Kac formula for the stochastic heat problem with anticipating initial conditions
    • Körezliǧlu H et al (eds), Birkhäuser, Boston
    • Benth FE (1996) A generalized Feynman-Kac formula for the stochastic heat problem with anticipating initial conditions, in: Stochastic Analysis and Related Topics V, Körezliǧlu H et al (eds), Birkhäuser, Boston
    • (1996) Stochastic Analysis and Related Topics V
    • Benth, F.E.1
  • 3
    • 0031508164 scopus 로고    scopus 로고
    • On the positivety of the stochastic heat equation
    • Benth FE (1997) On the positivety of the stochastic heat equation. Potential Anal 6:127-148
    • (1997) Potential Anal , vol.6 , pp. 127-148
    • Benth, F.E.1
  • 4
    • 0031167599 scopus 로고    scopus 로고
    • A white noise approach to a class of non-linear stochastic heat equations
    • Benth FE, Deck Th, and Potthoff J (1997) A white noise approach to a class of non-linear stochastic heat equations, J Funct Anal 146:382-415
    • (1997) J Funct Anal , vol.146 , pp. 382-415
    • Benth, F.E.1    Deck, Th.2    Potthoff, J.3
  • 5
    • 34249976458 scopus 로고
    • Generalized solution of some parabolic equations with random drift
    • Chow PL (1989) Generalized solution of some parabolic equations with random drift, Appl Math Optim 20:81-96
    • (1989) Appl Math Optim , vol.20 , pp. 81-96
    • Chow, P.L.1
  • 10
    • 0010953318 scopus 로고
    • An equation modelling transport of a substance in a stochastic medium
    • Gjerde J, Holden H, Øksendal B, Ubøe J, and Zhang TS (1995) An equation modelling transport of a substance in a stochastic medium, Progr Prob 36:123-134
    • (1995) Progr Prob , vol.36 , pp. 123-134
    • Gjerde, J.1    Holden, H.2    Øksendal, B.3    Ubøe, J.4    Zhang, T.S.5
  • 15
    • 0030295443 scopus 로고    scopus 로고
    • Generalized functionals in Gaussian spaces - The characterization theorem revisited
    • Kondratiev YuG, Leukert P, Potthoff J, Streit L, and Westerkamp W (1996) Generalized functionals in Gaussian spaces - The characterization theorem revisited, J Funct Anal 141:301-318
    • (1996) J Funct Anal , vol.141 , pp. 301-318
    • Kondratiev, Yu.G.1    Leukert, P.2    Potthoff, J.3    Streit, L.4    Westerkamp, W.5
  • 16
    • 3943096893 scopus 로고
    • Soft solution of linear parabolic SPDEs and the Wiener expansion
    • Kunita H, and Kuo HH (eds), Longman, Harlow
    • Mikulvicus R, and Rozovskii BL (1994) Soft solution of linear parabolic SPDEs and the Wiener expansion, in: Stochastic Analysis on Infinite Dimensional Spaces, Kunita H, and Kuo HH (eds), Longman, Harlow
    • (1994) Stochastic Analysis on Infinite Dimensional Spaces
    • Mikulvicus, R.1    Rozovskii, B.L.2
  • 17
    • 38249022603 scopus 로고
    • Generalized Brownian functionals and the solution to a stochastic partial differential equation
    • Nualart D, and Zakai M (1989) Generalized Brownian functionals and the solution to a stochastic partial differential equation, J Funct Anal 84:279-296
    • (1989) J Funct Anal , vol.84 , pp. 279-296
    • Nualart, D.1    Zakai, M.2
  • 18
    • 0010995842 scopus 로고
    • White noise approach to parabolic stochatic partial differential equations
    • Cardoso AI et al (eds), Kluwer, Dordrecht
    • Potthoff J (1994) White noise approach to parabolic stochatic partial differential equations, in: Stochastic Analysis and Applications in Physics, Cardoso AI et al (eds), Kluwer, Dordrecht
    • (1994) Stochastic Analysis and Applications in Physics
    • Potthoff, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.