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Resumen de Calderón's inverse conductivity problem in the plane

Lassi Päivärinta Árbol académico, Kari Astala Árbol académico

  • We show that the Dirichlet to Neumann map for the equation ¿Þ¿E¿Ð¿Þu = 0 in a two-dimensional domain uniquely determines the bounded measurable conductivity ¿Ð. This gives a positive answer to a question of A. P. Calder¿Lon from 1980. Earlier the result has been shown only for conductivities that are sufficiently smooth. In higher dimensions the problem remains open.

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