Calderón's inverse conductivity problem in the plane

• Autores: Lassi Päivärinta , Kari Astala
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 163, Nº 1, 2006, págs. 265-299
• Idioma: inglés
• DOI: 10.4007/annals.2006.163.265
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.