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Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map

Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map

We prove that the linear and quadratic nonlinear terms entering a nonlinear elliptic equation of divergence type can be uniquely identified by the Dirichlet-to-Neumann map. The unique identifiability is proved using the complex geometrical optics solutions.