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

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

2002-01-09

arxiv.org/abs/math-ph/0201022v1

Physics

Mathematical Physics

Scientific paper

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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