Numerical solution of the two-dimensional Calderón problem based on the Hilbert transform of a planar domain

Sagar Gohri, Vladimir Sharafutdinov

Let $(M,g)$ be a $C^{\infty }$ smooth compact connected Riemannian manifold with boundary $\partial M$. Consider the Dirichlet problem: ${\Delta }_{g}u=0,u{|}_{\partial M}=f$ for $f\in C^{\in…