2 problems

Single-measurement uniqueness conjecture. Uniqueness for Schiffer's problem should follow from a single far-field pattern.

Let $\omega=\cup_{k=1}^N\omega_k$ be a multiply connected set, where the sets $\omega_k$, for $k=1,\dots,N$, are nonintersecting simply connected open domains with $C^{1,1}$ bounda…