About: Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion     Goto   Sponge   NotDistinct   Permalink

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Description
  • We obtain necessary and sufficient conditions for equivalence of law for linear stochastic evolution equations driven by a general Gaussian noise by identifying the suitable space of controls for the corresponding deterministic control problem. This result is applied to semilinear (reaction-diffusion) equations driven by a fractional Brownian motion. We establish the equivalence of continuous dependence of laws of solutions to semilinear equations on the initial datum in the topology of pointwise convergence of measures and null controllability for the corresponding deterministic control problem.
  • We obtain necessary and sufficient conditions for equivalence of law for linear stochastic evolution equations driven by a general Gaussian noise by identifying the suitable space of controls for the corresponding deterministic control problem. This result is applied to semilinear (reaction-diffusion) equations driven by a fractional Brownian motion. We establish the equivalence of continuous dependence of laws of solutions to semilinear equations on the initial datum in the topology of pointwise convergence of measures and null controllability for the corresponding deterministic control problem. (en)
Title
  • Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion
  • Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion (en)
skos:prefLabel
  • Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion
  • Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion (en)
skos:notation
  • RIV/00216208:11320/13:10190427!RIV14-GA0-11320___
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  • P(GAP201/10/0752)
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  • 4
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  • 73151
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  • RIV/00216208:11320/13:10190427
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  • Stochastic evolution equations; Fractional Brownian motion; Null controllability; Equivalence of laws (en)
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  • CH - Švýcarská konfederace
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  • [8B39893ED2E2]
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  • Nonlinear Differential Equations and Applications
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  • 20
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  • Maslowski, Bohdan
  • van Neerven, Jan
http://linked.open...ain/vavai/riv/wos
  • 000321920700003
issn
  • 1021-9722
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00030-012-0218-6
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  • 11320
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