Identification of nonlinearity in conductivity equation via Dirichlet-to-Neumann map
Hyeonbae Kang, Gen Nakamura
Abstract
We prove that the linear term and quadratic nonlinear term entering a nonlinear elliptic equation of divergence type can be uniquely identified by the Dirichlet to Neuman map. The unique identifiability is proved using the complex geometrical optics solutions and singular solutions.
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