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Volumn 26, Issue 3, 2007, Pages 255-279

Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles

Author keywords

Evolution equations; Exponential integrability; Large deviation principles; Poisson measure

Indexed keywords


EID: 33847746285     PISSN: 09262601     EISSN: 1572929X     Source Type: Journal    
DOI: 10.1007/s11118-006-9035-z     Document Type: Article
Times cited : (134)

References (24)
  • 1
    • 0034552775 scopus 로고    scopus 로고
    • A genegral non-convex large deviation result with applications to stochastic equations
    • de Acosta, A.: A genegral non-convex large deviation result with applications to stochastic equations. Probab. Theory Related Fields, 483-521 (2000)
    • (2000) Probab. Theory Related Fields , vol.483-521
    • de Acosta, A.1
  • 2
    • 38149147148 scopus 로고
    • Large deviations for vector valued Lévy processes
    • de Acosta, A.: Large deviations for vector valued Lévy processes. Stochastic Process. Appl. 51, 75-115 (1994)
    • (1994) Stochastic Process. Appl , vol.51 , pp. 75-115
    • de Acosta, A.1
  • 4
    • 84990627145 scopus 로고
    • Large deviation problem for some parabolic Itô equations
    • Chow, P.: Large deviation problem for some parabolic Itô equations. Comm. Pure Appl. Math. XLV, 97-120 (1992)
    • (1992) Comm. Pure Appl. Math , vol.45 , pp. 97-120
    • Chow, P.1
  • 5
    • 0011300453 scopus 로고
    • On processes of Ornstein-Uhlenbeck type in Hilbert space
    • Chojnowska-Michalik, A.: On processes of Ornstein-Uhlenbeck type in Hilbert space. Stochastics 21, 251-286 (1987)
    • (1987) Stochastics , vol.21 , pp. 251-286
    • Chojnowska-Michalik, A.1
  • 6
    • 0031574565 scopus 로고    scopus 로고
    • Uniform large deviations for parabolic SPDEs and applications
    • Chenal, F., Millet, A.: Uniform large deviations for parabolic SPDEs and applications. Stochastic Process. Appl. 72, 161-186 (1997)
    • (1997) Stochastic Process. Appl , vol.72 , pp. 161-186
    • Chenal, F.1    Millet, A.2
  • 7
    • 2142772793 scopus 로고    scopus 로고
    • Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschtiz reaction term
    • Cerrai, S., Röckner, M.: Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschtiz reaction term. Ann. Probab. 32(1), 1100-1139 (2004)
    • (2004) Ann. Probab , vol.32 , Issue.1 , pp. 1100-1139
    • Cerrai, S.1    Röckner, M.2
  • 8
    • 0033228798 scopus 로고    scopus 로고
    • Large deviations for a Burgers'-type SPDE
    • Cardon-Weber, C.: Large deviations for a Burgers'-type SPDE. Stochastic Process. Appl. 84, 53-70 (1999)
    • (1999) Stochastic Process. Appl , vol.84 , pp. 53-70
    • Cardon-Weber, C.1
  • 10
    • 0042207536 scopus 로고    scopus 로고
    • Malliavin calculus for parabolic SPDEs with jumps
    • Fournier, N.: Malliavin calculus for parabolic SPDEs with jumps. Stochastic Process. Appl. 87(1), 115-147 (2000)
    • (2000) Stochastic Process. Appl , vol.87 , Issue.1 , pp. 115-147
    • Fournier, N.1
  • 11
    • 0042640592 scopus 로고    scopus 로고
    • Generalized Mehler semigroups: The non-Gaussian case
    • Fuhrmann, M., Röckner, M.: Generalized Mehler semigroups: the non-Gaussian case. Potential Anal. 12, 1-47 (2000)
    • (2000) Potential Anal , vol.12 , pp. 1-47
    • Fuhrmann, M.1    Röckner, M.2
  • 13
    • 0020199364 scopus 로고
    • On stochastic equations with respect to semimartingales. III
    • Gyöngy, I.: On stochastic equations with respect to semimartingales. III. Stochastics 7, 231-254 (1982)
    • (1982) Stochastics , vol.7 , pp. 231-254
    • Gyöngy, I.1
  • 14
    • 0002473786 scopus 로고
    • On stochastic equations with respect to semimartingales. I
    • Gyöngy, I., Krylov, N.V.: On stochastic equations with respect to semimartingales. I. Stochastics 4, 1-21 (1980/81)
    • (1980) Stochastics , vol.4 , pp. 1-21
    • Gyöngy, I.1    Krylov, N.V.2
  • 15
    • 0010028630 scopus 로고
    • On stochastic equations with respect to semimartingales. II. Itô formula in Banach spaces
    • Gyöngy, I., Krylov, N.V.: On stochastic equations with respect to semimartingales. II. Itô formula in Banach spaces. Stochastics 6, 153-173 (1981/82)
    • (1981) Stochastics , vol.6 , pp. 153-173
    • Gyöngy, I.1    Krylov, N.V.2
  • 17
    • 33847719840 scopus 로고    scopus 로고
    • Krylov, N.V., Rosowskii, B.L.: Stochastic Evolution Equations. Current Problems in Mathematics, 14 (Russian), pp. 71-147, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow (1979)
    • Krylov, N.V., Rosowskii, B.L.: Stochastic Evolution Equations. Current Problems in Mathematics, vol. 14 (Russian), pp. 71-147, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow (1979)
  • 19
    • 0003373043 scopus 로고    scopus 로고
    • The heat equation with Levy noise
    • Mueller, C.: The heat equation with Levy noise. Stochastic Process. Appl. 74(1), 67-82 (1998)
    • (1998) Stochastic Process. Appl , vol.74 , Issue.1 , pp. 67-82
    • Mueller, C.1
  • 20
    • 0036628270 scopus 로고    scopus 로고
    • Stochastic partial differential equations driven by stable noise
    • Mytnik, L.: Stochastic partial differential equations driven by stable noise. Probab. Theory Related Fields 123(2), 157-201 (2002)
    • (2002) Probab. Theory Related Fields , vol.123 , Issue.2 , pp. 157-201
    • Mytnik, L.1
  • 21
    • 0018768309 scopus 로고
    • Stochastic partial differential equations and filtering of diffussion processes
    • Pardoux, E.: Stochastic partial differential equations and filtering of diffussion processes. Stochastics 3, 127-167 (1979)
    • (1979) Stochastics , vol.3 , pp. 127-167
    • Pardoux, E.1
  • 24
    • 0034345577 scopus 로고    scopus 로고
    • On small time asymptotics of diffusions on Hilbert spaces
    • Zhang, T.S.: On small time asymptotics of diffusions on Hilbert spaces. Ann. Probab. 28(2), 537-557 (2000)
    • (2000) Ann. Probab , vol.28 , Issue.2 , pp. 537-557
    • Zhang, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.