Null controllability for some systems of two backward stochastic heat equations with one control force

Hongheng Li , Qi Lü

Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (6) : 909 -918.

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Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (6) : 909 -918. DOI: 10.1007/s11401-012-0743-y
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Null controllability for some systems of two backward stochastic heat equations with one control force

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Abstract

The authors establish the null controllability for some systems coupled by two backward stochastic heat equations. The desired controllability result is obtained by means of proving a suitable observability estimate for the dual system of the controlled system.

Keywords

Backward stochastic heat equation / Null controllability / Observability estimate

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Hongheng Li, Qi Lü. Null controllability for some systems of two backward stochastic heat equations with one control force. Chinese Annals of Mathematics, Series B, 2012, 33(6): 909-918 DOI:10.1007/s11401-012-0743-y

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