The Calderón problem with partial data
Johannes Sjöstrand (2004)
Journées Équations aux dérivées partielles
Similarity:
We describe a joint work with C.E. Kenig and G. Uhlmann [] where we improve an earlier result by Bukhgeim and Uhlmann [], by showing that in dimension , the knowledge of the Cauchy data for the Schrödinger equation measured on possibly very small subsets of the boundary determines uniquely the potential. We follow the general strategy of [] but use a richer set of solutions to the Dirichlet problem.