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Volumn 56, Issue 2, 2006, Pages 579-586

Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion

Author keywords

C 0 groups of linear operators; Continuous modifications; Nonexistence of weak solutions; Stochastic linear Cauchy problems

Indexed keywords


EID: 33750515446     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10587-006-0038-0     Document Type: Article
Times cited : (4)

References (11)
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    • Z. Brzeźniak: Some remarks on stochastic integration in 2-smooth Banach spaces. Probabilistic Methods in Fluids (I. M. Davies, A. Truman et. al., eds.). World Scientific, New Jersey, 2003, pp. 48-69. Zbl 1064.60116
    • (2003) Probabilistic Methods in Fluids , pp. 48-69
    • Brzeźniak, Z.1
  • 2
    • 17344379996 scopus 로고    scopus 로고
    • Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem
    • Zbl 0964.60043
    • Z. Brzeźniak, J. M. A. M. van Neerven: Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem. Studia Math. 143 (2000), 43-74. Zbl 0964.60043
    • (2000) Studia Math. , vol.143 , pp. 43-74
    • Brzeźniak, Z.1    Van Neerven, J.M.A.M.2
  • 3
    • 23044530099 scopus 로고    scopus 로고
    • Continuity of stochastic convolutions
    • Zbl 1001.60056
    • Z. Brzeźniak, Sz. Peszat, and J. Zabczyk: Continuity of stochastic convolutions. Czechoslovak Math. J. 51 (2001), 679-684. Zbl 1001.60056
    • (2001) Czechoslovak Math. J. , vol.51 , pp. 679-684
    • Brzeźniak, Z.1    Peszat, Sz.2    Zabczyk, J.3
  • 4
    • 0003298203 scopus 로고
    • Stochastic equations in infinite dimensions
    • Cambridge University Press, Cambridge. Zbl 0761.60052
    • G. Da Prato, J. Zabczyk: Stochastic Equations in Infinite Dimensions. Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 1992. Zbl 0761.60052
    • (1992) Encyclopedia of Mathematics and Its Applications
    • Da Prato, G.1    Zabczyk, J.2
  • 5
    • 0003971038 scopus 로고    scopus 로고
    • Ergodicity for infinit-dimensional systems
    • Cambridge University Press, Cambridge. Zbl 0849.60052
    • G. Da Prato and J. Zabczyk. Ergodicity for Infinit-Dimensional Systems. London Math. Soc. Lect. Note Series, Vol. 229. Cambridge University Press, Cambridge, 1996. Zbl 0849.60052
    • (1996) London Math. Soc. Lect. Note Series , vol.229
    • Da Prato, G.1    Zabczyk, J.2
  • 6
    • 23044529155 scopus 로고    scopus 로고
    • A note on maximal inequality for stochastic convolutions
    • Zbl 1001.60065
    • E. Hausenblas, J. Seidler. A note on maximal inequality for stochastic convolutions. Czechoslovak Math. J. 51 (2001), 785-790. Zbl 1001.60065
    • (2001) Czechoslovak Math. J. , vol.51 , pp. 785-790
    • Hausenblas, E.1    Seidler, J.2
  • 7
    • 0003851494 scopus 로고
    • Some random series of functions. Second edition
    • Cambridge University Press, Cambridge. Zbl 0571.60002
    • J.-P. Kahane: Some Random Series of Functions. Second edition. Cambridge Studies in Advanced Mathematics, Vol. 5. Cambridge University Press, Cambridge, 1985. Zbl 0571.60002
    • (1985) Cambridge Studies in Advanced Mathematics , vol.5
    • Kahane, J.-P.1
  • 8
    • 28644432029 scopus 로고    scopus 로고
    • Foundations of modern probability. Second edition
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    • O. Kallenberg: Foundations of Modern Probability. Second edition. Probability and its Applications. Springer-Verlag, New York, 2002. Zbl 0996.60001
    • (2002) Probability and Its Applications
    • Kallenberg, O.1
  • 11
    • 15844406211 scopus 로고    scopus 로고
    • Stochastic integration of functions with values in a Banach space
    • Zbl 1073.60059
    • J. M. A. M. van Neerven, L. Weis: Stochastic integration of functions with values in a Banach space. Studia Math. 166 (2005), 131-170. Zbl 1073.60059
    • (2005) Studia Math. , vol.166 , pp. 131-170
    • Van Neerven, J.M.A.M.1    Weis, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.