Improved stability of low Fourier modes in inverse problems for potentials
We prove Lipschitz, sub-H\"older and H\"older stability estimates for recovering the low Fourier modes of an unknown potential from the Dirichlet-to-Neumann (DN) map. We study three different cases, depending on the regularity of the difference $q_1-q_2$. First, we consider \[ (-\Delta - \lambda^2 + q)u=0 \quad \text{i...