  This paper is concerned with the control properties of the Korteweg-de Vries
(KdV) equation posed on a bounded interval with a distributed control. When the
control region is an arbitrary open subdomain, 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, the state function
being controlled on the left part of the complement of the control region.
Finally, when the control region is a neighborhood of the right endpoint, an
exact controllability result in a weighted L2 space is also established.
