Local exact controllability of the periodic KdV equation is proved with control supported on arbitrary measurable space-time sets of positive measure, via a new observability strategy for dispersive equations on tori.
Exact Controllability of linear KP-I equation
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abstract
We prove the exact controllability of linear KP-I equation if the control input is added on a vertical domain. More generally, we have obtained the least dispersion needed to insure observability for fractional linear KP I equation.
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The periodic KdV with control on space-time measurable sets
Local exact controllability of the periodic KdV equation is proved with control supported on arbitrary measurable space-time sets of positive measure, via a new observability strategy for dispersive equations on tori.