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Volumn 24, Issue 1, 1996, Pages 320-345

Large deviations for a class of stochastic partial differential equations

Author keywords

Large deviation principle; SPDE; White noise

Indexed keywords


EID: 0030486147     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1042644719     Document Type: Article
Times cited : (39)

References (16)
  • 1
    • 84990627145 scopus 로고
    • Large deviation problem for some parabolic Itô equations
    • CHOW, P. L. (1992). Large deviation problem for some parabolic Itô equations. Comm. Pure Appl. Math. 45 97-120.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 97-120
    • Chow, P.L.1
  • 2
    • 0001356070 scopus 로고
    • Large deviations from the McKean-Vlasov limit for weakly interacting diffusions
    • DAWSON, D. and GÄRTNER, J. (1987). Large deviations from the McKean-Vlasov limit for weakly interacting diffusions Stochastics 20 247-308.
    • (1987) Stochastics , vol.20 , pp. 247-308
    • Dawson, D.1    Gärtner, J.2
  • 4
    • 0000754401 scopus 로고
    • Large fluctuations for a nonlinear heat equation with noise
    • FARIS, W. G. and JONA-LASINIO, G. (1982). Large fluctuations for a nonlinear heat equation with noise. J. Phys. A 15 3025-3055.
    • (1982) J. Phys. A , vol.15 , pp. 3025-3055
    • Faris, W.G.1    Jona-Lasinio, G.2
  • 5
    • 0000588313 scopus 로고
    • Random perturbations of reaction-diffusion equations: The quasideterministic approach
    • FREIDLIN, M. I. (1988). Random perturbations of reaction-diffusion equations: the quasideterministic approach. Trans. Amer. Math. Soc. 305 665-697.
    • (1988) Trans. Amer. Math. Soc. , vol.305 , pp. 665-697
    • Freidlin, M.I.1
  • 7
    • 0001290826 scopus 로고
    • Continuity properties of gaussian processes with multidimensional time parameter
    • Univ. California Press, Berkeley
    • GARSIA, A. (1970). Continuity properties of Gaussian processes with multidimensional time parameter. Proc. Sixth Berkeley Symp. Math. Statist. Probab. 2 369-374. Univ. California Press, Berkeley.
    • (1970) Proc. Sixth Berkeley Symp. Math. Statist. Probab. , vol.2 , pp. 369-374
    • Garsia, A.1
  • 10
    • 21344489559 scopus 로고
    • Large deviation principle for stochastic evolution equations
    • PESZAT, S. (1994). Large deviation principle for stochastic evolution equations. Probab. Theory Related Fields 98 113-136.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 113-136
    • Peszat, S.1
  • 11
    • 0001835257 scopus 로고
    • Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
    • SOWERS, R. B. (1992). Large deviations for a reaction-diffusion equation with non-Gaussian perturbations. Ann. Probab. 20 504-537.
    • (1992) Ann. Probab. , vol.20 , pp. 504-537
    • Sowers, R.B.1
  • 14
    • 0000659593 scopus 로고
    • An introduction to Stochastic partial differential equations
    • WALSH, J. B. (1984). An Introduction to Stochastic Partial Differential Equations. Lecture Notes in Math. 1180 265-439.
    • (1984) Lecture Notes in Math. , vol.1180 , pp. 265-439
    • Walsh, J.B.1
  • 15
    • 0039122459 scopus 로고
    • Large deviations for diffusion processes in duals of nuclear spaces
    • To appear
    • XIONG, J. (1994). Large deviations for diffusion processes in duals of nuclear spaces. Appl. Math. Optim. To appear.
    • (1994) Appl. Math. Optim
    • Xiong, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.