| Abstract: |
| In this talk we discuss the issues of uniqueness and stability in anisotropic inverse problems. As is well known, these are typically ill-posed and nonlinear problems. In the presence of anisotropy, there is a well-known fundamental obstruction to uniqueness due to Tartar: any diffeomorphism of the domain under investigation, which keeps the boundary fixed, modifies the physical properties under investigation (e.g. the conductivity of the medium in the celebrated Calder\`on`s inverse conductivity problem) but such change is not visible in the measurements of the inverse problem (e.g. in the Dirichlet-to-Neumann map in Calder\`on`s problem). In this talk we discuss recent advancements in anisotropic inverse problems, in particular regarding the issues of uniqueness and stability. |
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