Inverse Problems for the Monge-Ampère Equation: Linearization and Nonlinear Recovery

Gunther Uhlmann, Philipp Zimmermann

We study inverse boundary value problems for the fully nonlinear Monge-Ampère equation $\det D^{2}u=a(x,u,\nabla u)$ in a bounded domain. Motivated by Calderón-type problems, we in…