Abstract: In inverse problems, uniqueness and stability are usually treated as separate questions, often requiring different arguments. I will discuss a mechanism by which uniqueness can imply Hölder stability on compact parameter sets, for inverse problems whose coefficients are described by finitely many parameters and whose boundary measurement maps depend analytically on those parameters. As an application, this gives a way to convert existing uniqueness theorems into new stability results for piecewise constant anisotropic conductivities, a setting where no comparable stability result seems to have been previously known. 

 

Organizer: Jenn-Nan Wang (NTU)