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Volumn 25, Issue 4, 2006, Pages 307-326

Young integrals and SPDEs

Author keywords

Fractional Brownian motion; Path wisestochastic integration; Rough path theory; Stochastic heat equation

Indexed keywords


EID: 33751052495     PISSN: 09262601     EISSN: 1572929X     Source Type: Journal    
DOI: 10.1007/s11118-006-9013-5     Document Type: Article
Times cited : (97)

References (18)
  • 1
  • 2
    • 0003298203 scopus 로고
    • Stochastic equations in infinite dimensions
    • Cambridge University Press, Cambridge
    • Da Prato, O., Zabczyk, J.: Stochastic Equations in Infinite Dimensions, volume 44 of Encyclopedia of Mathematics and Its Applications. Cambridge University Press, Cambridge (1992)
    • (1992) Encyclopedia of Mathematics and Its Applications , vol.44
    • Da Prato, O.1    Zabczyk, J.2
  • 3
    • 0043071630 scopus 로고    scopus 로고
    • Fractional Brownian motion and stochastic equations in Hilbert spaces
    • Duncan, T., Maslowski, B., Pasik-Duncan, B.: Fractional Brownian motion and stochastic equations in Hilbert spaces. Stochastic Dynamics 2(2), 225-250 (2002)
    • (2002) Stochastic Dynamics , vol.2 , Issue.2 , pp. 225-250
    • Duncan, T.1    Maslowski, B.2    Pasik-Duncan, B.3
  • 4
    • 0003215222 scopus 로고    scopus 로고
    • One-parameter Semigroups for Linear Evolution Equations
    • Springer, Berlin Heidelberg New York
    • Engel, K.J., Nagel, R.: One-parameter Semigroups for Linear Evolution Equations, volume 194 of Graduate Texts in Mathematics. Springer, Berlin Heidelberg New York (2000)
    • (2000) Graduate Texts in Mathematics , vol.194
    • Engel, K.J.1    Nagel, R.2
  • 5
    • 0347153441 scopus 로고    scopus 로고
    • Infinite-dimensional optimization and control theory
    • Cambridge University Press, Cambridge
    • Fattorini, H.O.: Infinite-dimensional Optimization and Control Theory, volume 62 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge (1999)
    • (1999) Encyclopedia of Mathematics and Its Applications , vol.62
    • Fattorini, H.O.1
  • 6
    • 0033556963 scopus 로고    scopus 로고
    • A parabolic stochastic differential equation with fractional Brownian motion input
    • Grecksch, W., Anh, V.: A parabolic stochastic differential equation with fractional Brownian motion input. Statist. Probab. Lett. 41(4), 337-346 (1999)
    • (1999) Statist. Probab. Lett. , vol.41 , Issue.4 , pp. 337-346
    • Grecksch, W.1    Anh, V.2
  • 7
    • 4344654665 scopus 로고    scopus 로고
    • Controlling rough paths
    • Gubinelli, M.: Controlling rough paths. J. Func. Anal. 216, 86-140 (2004)
    • (2004) J. Func. Anal. , vol.216 , pp. 86-140
    • Gubinelli, M.1
  • 8
    • 1642380843 scopus 로고    scopus 로고
    • General fractional multiparameter white noise theory and stochastic partial differential equations
    • Hu, Y., Oksendal, B., Zhang, T.: General fractional multiparameter white noise theory and stochastic partial differential equations. Comm. Partial Differential Equations 29(1-2), 1-23 (2004)
    • (2004) Comm. Partial Differential Equations , vol.29 , Issue.1-2 , pp. 1-23
    • Hu, Y.1    Oksendal, B.2    Zhang, T.3
  • 9
    • 23244461120 scopus 로고    scopus 로고
    • An introduction to rough paths
    • Séminaire de Probabilités XXXVII, Springer, Berlin Heidelberg New York
    • Lejay, A.: An introduction to rough paths. In: Séminaire de Probabilités XXXVII, volume 1832 of Lecture Notes in Mathematics, pp. 1-59. Springer, Berlin Heidelberg New York (2003)
    • (2003) Lecture Notes in Mathematics , vol.1832 , pp. 1-59
    • Lejay, A.1
  • 10
    • 0036018185 scopus 로고    scopus 로고
    • Levy area of Wiener processes in Banach spaces
    • Ledoux, M., Lyons, T., Qian, Z.: Levy area of Wiener processes in Banach spaces. Ann. Appl. Probab. 30(2), 546-578 (2002)
    • (2002) Ann. Appl. Probab. , vol.30 , Issue.2 , pp. 546-578
    • Ledoux, M.1    Lyons, T.2    Qian, Z.3
  • 12
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • Lyons, T.: Differential equations driven by rough signals. Rev. Mat. Iberoamericana 14(2), 215-310 (1998)
    • (1998) Rev. Mat. Iberoamericana , vol.14 , Issue.2 , pp. 215-310
    • Lyons, T.1
  • 13
    • 0042229456 scopus 로고    scopus 로고
    • Evolution equations driven by a fractional Brownian motion
    • Maslowski, B., Nualart, D.: Evolution equations driven by a fractional Brownian motion. J. Funct. Anal. 202(1), 277-305 (2003)
    • (2003) J. Funct. Anal. , vol.202 , Issue.1 , pp. 277-305
    • Maslowski, B.1    Nualart, D.2
  • 14
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Springer, Berlin Heidelberg New York
    • Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations, volume 44 of Applied Mathematical Sciences. Springer, Berlin Heidelberg New York (1983)
    • (1983) Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 15
    • 0242339531 scopus 로고    scopus 로고
    • Stochastic evolution equations with fractional Brownian motion
    • Tindel, S., Tudor, C.A., Viens, F.: Stochastic evolution equations with fractional Brownian motion. Probab. Theory Related Fields 127(2), 186-204 (2003)
    • (2003) Probab. Theory Related Fields , vol.127 , Issue.2 , pp. 186-204
    • Tindel, S.1    Tudor, C.A.2    Viens, F.3
  • 16
    • 0000659593 scopus 로고
    • An introduction to stochastic partial differential equations
    • École d'été de probabilités de Saint-Flour, XIV-1984, Springer, Berlin Heidelberg New York
    • Walsh, J.B.: An introduction to stochastic partial differential equations. In: École d'été de probabilités de Saint-Flour, XIV-1984, volume 1180 of Lecture Notes in Math., pp. 265-439. Springer, Berlin Heidelberg New York (1986)
    • (1986) Lecture Notes in Math , vol.1180 , pp. 265-439
    • Walsh, J.B.1
  • 17
    • 0000821514 scopus 로고
    • An inequality of hölder type, connected with stieljes integration
    • Young, L.C.: An inequality of hölder type, connected with stieljes integration. Acta Math. 67, 251-282 (1936)
    • (1936) Acta Math. , vol.67 , pp. 251-282
    • Young, L.C.1
  • 18
    • 0038290919 scopus 로고    scopus 로고
    • Integration with respect to fractal functions and stochastic calculus
    • Zähle, M.: Integration with respect to fractal functions and stochastic calculus. I. Probab. Theory Related Fields 111(3), 333-374 (1998)
    • (1998) I. Probab. Theory Related Fields , vol.111 , Issue.3 , pp. 333-374
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.