Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10190427" target="_blank" >RIV/00216208:11320/13:10190427 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00030-012-0218-6" target="_blank" >http://dx.doi.org/10.1007/s00030-012-0218-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00030-012-0218-6" target="_blank" >10.1007/s00030-012-0218-6</a>

Result language
angličtina
Original language name
Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F10%2F0752" target="_blank" >GAP201/10/0752: Stochastic Space-Time Systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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