A spectral approach of the null controllability of coupled non ...
A spectral approach of the null controllability of coupled non ...
A spectral approach of the null controllability of coupled non ...
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Spectral properties <strong>of</strong> A Parabolic <strong>controllability</strong> properties An applicationAdvantages <strong>of</strong> <strong>the</strong> Lebeau-Robbiano methodThis method• only relies on elliptic Carleman estimates → simpler toproduce• enlights some fundamental properties <strong>of</strong> <strong>the</strong> elliptic operatorA: <strong>spectral</strong> inequality (Lebeau-Zuazua ’98, Jerison-Lebeau’99)• yields <strong>the</strong> cost <strong>of</strong> <strong>the</strong> <strong>null</strong>-<strong>controllability</strong> <strong>of</strong> <strong>the</strong> low frequencies<strong>of</strong> <strong>the</strong> elliptic operator A• gives an explicit iterative construction <strong>of</strong> <strong>the</strong> control function
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