The reflection principle and Calderón problems with partial data

The Calderón problem in the $L^p$ framework on Riemann surfaces

“…In this subsection we recall some facts regarding the inhomogenous ∂ equations. For every k ∈ N and p ∈ ]1, ∞[, it was proved in Proposition 2.3 of [17] that there exists a bounded operator…”

An inverse problem for the minimal surface equation

“…For the partial data, the proof is very similar and has only a few modifications. One of the more significant changes is that instead of using the results of [GT11] to determine the advection term, we use the results for partial data in [Tzo17].…”

A note on the partial data inverse problem for a nonlinear magnetic Schrödinger operator on Riemann surface

“…Since them, much attentions have been paid to the study of Calderón problem for the linear magnetic Schrödinger operator. See [11,10,1,3,12] and in particular [16,14] for results on Riemann surface. The list is not exhaustive.…”