메뉴 건너뛰기




Volumn 24, Issue 4, 2006, Pages 843-869

Space-time regularity of solutions of the parabolic stochastic cauchy problem

Author keywords

Analytic semigroups; H calculus; Maximal regularity; Parabolic stochastic evolution equations; R boundedness; Space time H lder regularity

Indexed keywords


EID: 33745842955     PISSN: 07362994     EISSN: 15329356     Source Type: Journal    
DOI: 10.1080/07362990600753577     Document Type: Article
Times cited : (25)

References (31)
  • 2
    • 15844406211 scopus 로고    scopus 로고
    • Stochastic integration of functions with values in a Banach space
    • van Neerven, J.M.A.M., and L. Weis. 2005. Stochastic integration of functions with values in a Banach space. Studia Math. 166:131-170.
    • (2005) Studia Math. , vol.166 , pp. 131-170
    • Van Neerven, J.M.A.M.1    Weis, L.2
  • 3
    • 33750515446 scopus 로고    scopus 로고
    • Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion
    • To appear in
    • Dettweiler, J., and J.M.A.M. van Neerven. 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
  • 4
    • 0001676652 scopus 로고    scopus 로고
    • The similarity problem for bounded analytic semigroups on Hilbert spaces
    • Le Merdy, C. 1998. The similarity problem for bounded analytic semigroups on Hilbert spaces. Semigroup Forum 56:205-224.
    • (1998) Semigroup Forum , vol.56 , pp. 205-224
    • Le Merdy, C.1
  • 6
  • 7
    • 33745827559 scopus 로고    scopus 로고
    • Math. Surveys and Monographs. Providence, RI: Amer. Math. Soc.
    • Bogachev, V.I. 1998. Gaussian Measures. Math. Surveys and Monographs. Vol. 62. Providence, RI: Amer. Math. Soc.
    • (1998) Gaussian Measures , vol.62
    • Bogachev, V.I.1
  • 12
    • 0035629005 scopus 로고    scopus 로고
    • p-regularity
    • p-regularity. Math. Ann. 319:735-758.
    • (2001) Math. Ann. , vol.319 , pp. 735-758
    • Weis, L.1
  • 15
    • 17344379996 scopus 로고    scopus 로고
    • Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem
    • Brzeźniak, Z., and J.M.A.M. van Neerven. 2000. Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem. Studia Math. 143:43-74.
    • (2000) Studia Math. , vol.143 , pp. 43-74
    • Brzeźniak, Z.1    Van Neerven, J.M.A.M.2
  • 17
    • 0005159023 scopus 로고    scopus 로고
    • Appunti, Scuola Normale Superiore, Pisa
    • Lunardi, A. 1999. Interpolation Theory. Appunti, Scuola Normale Superiore, Pisa.
    • (1999) Interpolation Theory
    • Lunardi, A.1
  • 18
    • 0000297769 scopus 로고    scopus 로고
    • On stochastic convolutions in Banach spaces and applications
    • Brzeźniak, Z. 1997. On stochastic convolutions in Banach spaces and applications. Stoch. Stoch. Reports 61:245-295.
    • (1997) Stoch. Stoch. Reports , vol.61 , pp. 245-295
    • Brzeźniak, Z.1
  • 21
    • 33745868519 scopus 로고
    • Progress in Nonlinear Differential Equations and Their Applications. Basel: Birkhäuser Verlag
    • Lunardi, A. 1995. Analytic Semigroups and Optimal Regularity in Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications. Vol. 16. Basel: Birkhäuser Verlag.
    • (1995) Analytic Semigroups and Optimal Regularity in Parabolic Problems , vol.16
    • Lunardi, A.1
  • 22
  • 23
    • 0002597257 scopus 로고
    • p with boundary conditions
    • p with boundary conditions. Studia Math. 44:47-60.
    • (1972) Studia Math. , vol.44 , pp. 47-60
    • Seeley, R.1
  • 24
    • 38249012385 scopus 로고
    • Nonexplosion, boundedness, and ergodicity for stochastic semilinear equations
    • Da Prato, G., and J. Zabczyk. 1992. Nonexplosion, boundedness, and ergodicity for stochastic semilinear equations. J. Differential Equations 98:181-195.
    • (1992) J. Differential Equations , vol.98 , pp. 181-195
    • Da Prato, G.1    Zabczyk, J.2
  • 28
    • 0035643602 scopus 로고    scopus 로고
    • ∞-calculus and sums of closed operators
    • ∞-calculus and sums of closed operators. Math. Ann. 321:319-345.
    • (2001) Math. Ann. , vol.321 , pp. 319-345
    • Kalton, N.J.1    Weis, L.2
  • 29
    • 0002490434 scopus 로고
    • Some results on Banach spaces without local unconditional structure
    • Pisier, G. 1978. Some results on Banach spaces without local unconditional structure. Compositio Math. 37:3-19.
    • (1978) Compositio Math. , vol.37 , pp. 3-19
    • Pisier, G.1
  • 30
    • 0001646937 scopus 로고    scopus 로고
    • An analytic approach to SPDEs
    • Math. Surveys Monogr., Providence, R.I.: Amer. Math. Soc.
    • Krylov, N.V. 1999. An analytic approach to SPDEs. In Stochastic Partial Differential Equations: Six Perspectives. Math. Surveys Monogr., Vol. 64. pp. 185-242. Providence, R.I.: Amer. Math. Soc.
    • (1999) Stochastic Partial Differential Equations: Six Perspectives , vol.64 , pp. 185-242
    • Krylov, N.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.