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Original Articles

Stochastic parabolic equations in bounded domains: random evolution operator and lyapunov exponents

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Pages 461-485 | Published online: 22 Dec 2010

References

  • Adams , R. A . 1975 . Sobolev Spaces , Academic Press .
  • Agmon , S . 1965 . Elliptic Boundary Value Problems , Van Nostrand .
  • Arnold , L , Curtain , R.F and Kotelenez , P . 1980 . Nonlinear stochastic evolution equations in Hilbert
  • Arnold , L and Wihstutz , V . 1986 . Lecture Notes in Mathematics , Springer .
  • Batchelor , G.K . 1959 . The Theory of Homogeneous Turbulence , Cambridge University Press .
  • Brzezniak , Z , Capinski , M and Flandoli , F . 1959 . A convergence result for stochastic partial differential equations . Stochastics ,
  • Blagovescensky , Y.I and Freidlin , M.I . 1961 . Certain properties of diffusion processes depending on a . Soviet Math , 2 : 633 – 636 .
  • Chow , P.L . 1976 . Function-space differential equations associated with a stochastic partial differential equation . 25 : 609 – 627 .
  • Chow , P.L . 1978 . Stochastic partial differential equations in turbulence related problems . Probabilistic Analysis and Related Problems , 1 : 1 – 43 .
  • Crauel , H . 1981 . Ergodentheorie linearer stochastischer Systeme , Bremen : Diplomarbeit .
  • Curtain , R.F and Kotelenez , P . 1987 . Stochastic bilinear spectral systems . Stochastics , 20 : 3 – 15 .
  • DaPrato , G . 1983 . Some results on linear stochastic evolution equations in Hilbert spaces by the , 1 : 57 – 88 .
  • DaPrato , G . Equations differentielles stochastiques dans les espaces de Hilbert , Preprint .
  • DaPrato , G , lanelli , L and Tubaro . 1982 . Some results on linear stochastic differential equations in . Stochastics , 6 : 105 – 116 .
  • Friedman , A . 1975 . Stochastic Differential Equations and Applications , Academic Press .

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