On the determination of the principal coefficient from boundary measurements in a KdV equation.

This paper concerns the inverse problem of retrieving the principal coefficient in a Korteweg-de Vries (KdV) equation from boundary measurements of a single solution. The Lipschitz stability of this inverse problem is obtained using a new global Carleman estimate for the linearized KdV equation. The proof is based on the Bukhgeĭm-Klibanov method. [ABSTRACT FROM AUTHOR]