| Abstract
| - This paper is concerned with the control properties of the Korteweg-de Vries (KdV) equation posed on a bounded interval (0 ,L) with a distributed control. When the control region is an arbitrary open subdomain ( l1,l2) , we prove the null controllability of the KdV equation by means of a new Carleman inequality. As a consequence, we obtain a regional controllability result, which roughly tells us that any target function arbitrarily chosen on (0 ,l1) and null on ( l2,L) is reachable. Finally, when the control region is a neighborhood of the right endpoint, an exact controllability result in a weighted L2-space is also established.
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