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Volumn 6, Issue 2, 2006, Pages 205-228

Invariant measures for the linear stochastic Cauchy problem and R-boundedness of the resolvent

Author keywords

C0 semigroups; Invariant measures; R bounded resolvent; Stochastic evolution equations in Banach spaces

Indexed keywords


EID: 33645522863     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-005-0223-x     Document Type: Article
Times cited : (18)

References (33)
  • 1
    • 0003126557 scopus 로고
    • Spectrum and growth of positive semigroups
    • "Evolution Equations" (Baton Rouge, 1992), Dekker
    • ARENDT, W., Spectrum and growth of positive semigroups, in: "Evolution Equations" (Baton Rouge, 1992), Lecture Notes in Pure and Appl. Math., Vol. 168, Dekker, 1995, pp. 21-28.
    • (1995) Lecture Notes in Pure and Appl. Math. , vol.168 , pp. 21-28
    • Arendt, W.1
  • 4
    • 17344379996 scopus 로고    scopus 로고
    • Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem
    • BRZEŹNIAK, Z. and VAN NEERVEN, J.M.A.M., Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem, Studia Math. 143 (2000), 43-74.
    • (2000) Studia Math. , vol.143 , pp. 43-74
    • Brzeźniak, Z.1    Van Neerven, J.M.A.M.2
  • 8
    • 0242287337 scopus 로고    scopus 로고
    • R-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type
    • DENK, R., HIEBER, M. and PRÜSS, J., "R-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type", Mem. Amer. Math. Soc., Vol. 166, 2003.
    • (2003) Mem. Amer. Math. Soc. , vol.166
    • Denk, R.1    Hieber, M.2    Prüss, J.3
  • 9
    • 33750515446 scopus 로고    scopus 로고
    • Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion
    • DETTWEILER, J. and VAN NEERVEN, J.M.A.M., Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion, to appear in Czech. Math. J.
    • Czech. Math. J.
    • Dettweiler, J.1    Van Neerven, J.M.A.M.2
  • 12
    • 84870910659 scopus 로고
    • Spectral theory for contraction semigroups on Hilbert spaces
    • GEARHART, L., Spectral theory for contraction semigroups on Hilbert spaces, Trans. Amer. Math. Soc. 236 (1978), 385-394.
    • (1978) Trans. Amer. Math. Soc. , vol.236 , pp. 385-394
    • Gearhart, L.1
  • 13
    • 0344981370 scopus 로고    scopus 로고
    • p(X) and geometry of Banach spaces
    • p(X) and geometry of Banach spaces, J. Funct. Anal. 204 (2003), 320-354.
    • (2003) J. Funct. Anal. , vol.204 , pp. 320-354
    • Girardi, M.1    Weis, L.2
  • 14
    • 28444447137 scopus 로고    scopus 로고
    • Criteria for R-boundedness of operator families
    • "Evolution Equations", Dekker
    • GIRARDI, M. and WEIS, L., Criteria for R-boundedness of operator families, in: "Evolution Equations", pp. 203-221, Lecture Notes in Pure and Appl. Math., Vol. 234, Dekker, 2003.
    • (2003) Lecture Notes in Pure and Appl. Math. , vol.234 , pp. 203-221
    • Girardi, M.1    Weis, L.2
  • 15
    • 0038031670 scopus 로고    scopus 로고
    • Transition semigroups of Banach space valued Ornstein-Uhlenbeck processes
    • GOLDYS, B. and VAN NEERVEN, J.M.A.M., Transition semigroups of Banach space valued Ornstein-Uhlenbeck processes, Acta Applicandae Math. 76 (2003), 283-330.
    • (2003) Acta Applicandae Math. , vol.76 , pp. 283-330
    • Goldys, B.1    Van Neerven, J.M.A.M.2
  • 16
    • 0002129212 scopus 로고
    • The spectrum of Hilbert space semigroups
    • HERBST, I.W., The spectrum of Hilbert space semigroups, J. Operator Th. 10 (1983), 87-94.
    • (1983) J. Operator Th. , vol.10 , pp. 87-94
    • Herbst, I.W.1
  • 20
    • 0001077456 scopus 로고
    • Mappings of Gaussian cylindrical measures in Banach spaces
    • LINDE, W. and PIETSCH, A., Mappings of Gaussian cylindrical measures in Banach spaces, Theory Probab. Appl. 19 (1974), 445-460.
    • (1974) Theory Probab. Appl. , vol.19 , pp. 445-460
    • Linde, W.1    Pietsch, A.2
  • 22
    • 0003262790 scopus 로고    scopus 로고
    • The Asymptotic Behaviour of Semigroups of Linear Operators
    • Birkhäuser Verlag
    • VAN NEERVEN, J.M.A.M., "The Asymptotic Behaviour of Semigroups of Linear Operators", Operator Theory: Advances and Applications, Vol. 88, Birkhäuser Verlag, 1996.
    • (1996) Operator Theory: Advances and Applications , vol.88
    • Van Neerven, J.M.A.M.1
  • 24
    • 15844406211 scopus 로고    scopus 로고
    • Stochastic integration of functions with values in a Banach space
    • VAN NEERVEN, J.M.A.M. and WEIS, L., Stochastic integration of functions with values in a Banach space, Studia Math. 166 (2005), 131-170.
    • (2005) Studia Math. , vol.166 , pp. 131-170
    • Van Neerven, J.M.A.M.1    Weis, L.2
  • 25
    • 33645518277 scopus 로고    scopus 로고
    • Weak limits and integrals of Gaussian covariances in Banach spaces
    • VAN NEERVEN, J.M.A.M. and WEIS, L., Weak limits and integrals of Gaussian covariances in Banach spaces, Probab. Math. Statist. 25 (2005), 55-74.
    • (2005) Probab. Math. Statist. , vol.25 , pp. 55-74
    • Van Neerven, J.M.A.M.1    Weis, L.2
  • 27
    • 0002490434 scopus 로고
    • Some results on Banach spaces without local unconditional structure
    • PISIER, G., Some results on Banach spaces without local unconditional structure, Composition Math. 37 (1978), 3-19.
    • (1978) Composition Math. , vol.37 , pp. 3-19
    • Pisier, G.1
  • 29
    • 15844429262 scopus 로고
    • On the space of vector-valued functions integrable with respect to the white noise
    • ROSIŃSKI, J. and SUCHANECKI, Z., On the space of vector-valued functions integrable with respect to the white noise, Colloq. Math. XLIII (1980), 183-201.
    • (1980) Colloq. Math. , vol.43 , pp. 183-201
    • Rosiński, J.1    Suchanecki, Z.2
  • 30
    • 0000687306 scopus 로고
    • 0 semi-groups as determined by the spectrum of the generator
    • 0 semi-groups as determined by the spectrum of the generator, Indiana Univ. Math. J. 25 (1976), 783-792.
    • (1976) Indiana Univ. Math. J. , vol.25 , pp. 783-792
    • Slemrod, M.1
  • 32
    • 0035629005 scopus 로고    scopus 로고
    • p-regularity
    • p-regularity, Math. Ann. 319 (2001), 735-758.
    • (2001) Math. Ann. , vol.319 , pp. 735-758
    • Weis, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.