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Inverse Problems for the Monge-Ampère Equation: Linearization and Nonlinear Recovery
We study inverse boundary value problems for the fully nonlinear Monge-Ampère equation $ \det D^2u=a(x,u,\nabla u) $ in a bounded domain. Motivated by Calderón-type problems, we introduce nonlinear Cauchy data and investigate the recovery of $a$ from boundary measurements. Around a strictly convex b
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