捆绑SM社区

Abstract: In this talk, we shall give some simple counterexamples to uniqueness for the anisotropic Calderon problem on Riemannian manifolds with boundary when the Dirichlet and Neumann data are measured on disjoint sets of the boundary. We provide counterexamples in the case of two and three dimensional Riemannian manifolds with boundary having the topology of circular cylinders in dimension two and toric cylinders in dimension three. The construction could be easily extended to higher dimensional Riemannian manifolds. This is joint work with Niky Kamran (捆绑SM社区) and Francois Nicoleau (Universit茅 de Nantes).聽