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Volumn 123, Issue 4, 2002, Pages 579-600

Integration by parts formulae on convex sets of paths and applications to SPDEs with reflection

Author keywords

Additive functionals; Dirichlet processes; Integration by parts; Stochastic partial differential equations with reflection

Indexed keywords


EID: 0036025134     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400200203     Document Type: Article
Times cited : (54)

References (22)
  • 1
    • 0002283157 scopus 로고
    • Relations entre pont et excursion du mouvement Brownien réel
    • Biane, P.: Relations entre pont et excursion du mouvement Brownien réel, Ann. Inst. Henri Poincaré, 22(1), 1-7 (1986)
    • (1986) Ann. Inst. Henri Poincaré , vol.22 , Issue.1 , pp. 1-7
    • Biane, P.1
  • 2
    • 0013306091 scopus 로고    scopus 로고
    • Second order PDE's in finite and infinite dimension
    • Springer Verlag
    • Cerrai, S.: Second Order PDE's in Finite and Infinite Dimension, Lecture Notes in Mathematics 1762, Springer Verlag (2001)
    • (2001) Lecture Notes in Mathematics , vol.1762
    • Cerrai, S.1
  • 3
    • 0002243194 scopus 로고    scopus 로고
    • The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential
    • I-B
    • Da Prato, G.: The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential, Bollettino UMI, (8) I-B, 501-519 (1998)
    • (1998) Bollettino UMI , Issue.8 , pp. 501-519
    • Da Prato, G.1
  • 5
    • 0000608747 scopus 로고    scopus 로고
    • Some properties of Monotone gradient systems
    • Da Prato, G.: Some Properties of Monotone Gradient Systems, Dynam. Contin. Discrete Impuls. Systems, 8(3), 401-414 (2001)
    • (2001) Dynam. Contin. Discrete Impuls. Systems , vol.8 , Issue.3 , pp. 401-414
    • Da Prato, G.1
  • 9
    • 0013199942 scopus 로고    scopus 로고
    • EDPS réfléchies et calcul de malliavin
    • Donati-Martin, C., Pardoux, E.: EDPS Réfléchies et Calcul de Malliavin, Bull. Sci. Math., 121, 405-422 (1997)
    • (1997) Bull. Sci. Math. , vol.121 , pp. 405-422
    • Donati-Martin, C.1    Pardoux, E.2
  • 10
    • 0001644061 scopus 로고
    • Weak convergence to Brownian meander and Brownian excursion
    • Durrett, R.T, Iglehart, D.L., Miller, D.R.: Weak convergence to Brownian meander and Brownian excursion, Ann. Probability, 5(1), 117-129 (1977)
    • (1977) Ann. Probability , vol.5 , Issue.1 , pp. 117-129
    • Durrett, R.T.1    Iglehart, D.L.2    Miller, D.R.3
  • 11
    • 0013198736 scopus 로고    scopus 로고
    • BV functions and distorted ornstein uhlenbech processes over the abstract wiener space
    • Fukushima, M.: BV Functions and Distorted Ornstein Uhlenbech Processes over the Abstract Wiener Space, Journ. of Funct. Anal., 174, 227-249 (2000)
    • (2000) Journ. of Funct. Anal. , vol.174 , pp. 227-249
    • Fukushima, M.1
  • 13
    • 0001899737 scopus 로고    scopus 로고
    • On semi-martingale characterizations of functionals of symmetric Markov processes
    • Fukushima, M.: On semi-martingale characterizations of functionals of Symmetric Markov Processes, Electr. Journ. of Prob., 4, 1-32 (1999)
    • (1999) Electr. Journ. of Prob. , vol.4 , pp. 1-32
    • Fukushima, M.1
  • 14
    • 0013249406 scopus 로고    scopus 로고
    • Fluctuations for ∇φ interface model on a wall
    • Funaki, T., Olla, S.: Fluctuations for ∇φ interface model on a wall, Stoch. Proc. and Appl, 94(1), 1-27 (2001)
    • (2001) Stoch. Proc. and Appl , vol.94 , Issue.1 , pp. 1-27
    • Funaki, T.1    Olla, S.2
  • 17
    • 0002707568 scopus 로고
    • White noise driven quasilinear SPDEs with reflection
    • Nualart, D., Pardoux, E.: White noise driven quasilinear SPDEs with reflection, Prob. Theory and Rel. Fields, 93, 77-89 (1992)
    • (1992) Prob. Theory and Rel. Fields , vol.93 , pp. 77-89
    • Nualart, D.1    Pardoux, E.2
  • 19
    • 0002236462 scopus 로고
    • Logarithmic Sobolev inequalities for Gibbs states
    • Dirichlet forms (Varenna), Springer, Berlin
    • Stroock, D.W.: Logarithmic Sobolev inequalities for Gibbs states, Dirichlet forms (Varenna, 1992), pp. 194-228, Lecture Notes in Math. 1563, Springer, Berlin (1993)
    • (1992) Lecture Notes in Math. , vol.1563 , pp. 194-228
    • Stroock, D.W.1
  • 20
    • 0000955828 scopus 로고    scopus 로고
    • A reflected stochastic heat equation as symmetric dynamics with respect to the 3-d Bessel Bridge
    • Zambotti, L.: A reflected stochastic heat equation as symmetric dynamics with respect to the 3-d Bessel Bridge, Journ. of Funct. Anal., 180, 195-209 (2001)
    • (2001) Journ. of Funct. Anal. , vol.180 , pp. 195-209
    • Zambotti, L.1
  • 21
    • 0038730437 scopus 로고    scopus 로고
    • Integration by parts on Bessel bridges and related stochastic partial differential equations
    • (2002)
    • Zambotti, L.: Integration by parts on Bessel Bridges and related Stochastic Partial Differential Equations, C. R. Acad. Sci. Paris, Ser. I 334 (2002), 209-212 (2002)
    • (2002) C. R. Acad. Sci. Paris, Ser. I , vol.334 , pp. 209-212
    • Zambotti, L.1
  • 22
    • 0013297086 scopus 로고    scopus 로고
    • Integration by parts on δ-Bessel bridges, δ > 3, and related SPDEs
    • Zambotti, L.: Integration by parts on δ-Bessel Bridges, δ > 3, and related SPDEs, to appear in Annals of Probability (2002)
    • (2002) Annals of Probability
    • Zambotti, L.1


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