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

نویسندگان

  • Lucie Baudouin
  • Eduardo Cerpa
  • Emmanuelle Crépeau
  • Alberto Mercado
چکیده

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 Bukhgĕım-Klibanov method.

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تاریخ انتشار 2013