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Invariant measures for dichotomous stochastic differential equations in Hilbert spaces

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Publication:1608747
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DOI10.1016/S1631-073X(02)02410-XzbMath1002.60052MaRDI QIDQ1608747

Onno van Gaans, Sjoerd M. Verduyn Lunel

Publication date: 1 January 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

Wiener processinvariant measuremild solutionswhite noisereal separable Hilbert spacecolored noisehyperbolic semigroupsemilinear stochastic evolution equationsLipschitz constantsdichotomous equationinfinite-dimensional noise


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)


Related Items

LONG TERM BEHAVIOR OF DICHOTOMOUS STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES



Cites Work

  • Dichotomies in stability theory
  • An integrability condition on the resolvent for hyperbolicity of the semigroup
  • Invariant measures for stochastic partial differential equations in unbounded domains
  • Semilinear stochastic evolution equations: boundedness, stability and invariant measurest
  • Invariant measures for semilinear stochastic equations
  • Spectral Theory for Contraction Semigroups on Hilbert Space
  • Stochastic Equations in Infinite Dimensions
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