Stability of the Calder\'on problem for less regular conductivities

Pedro Caro; Andoni García; Juan Manuel Reyes

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arXiv · 1205.2487

Stability of the Calder\'on problem for less regular conductivities

Pedro Caro·Andoni García·Juan Manuel Reyes

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Abstract

In these notes we prove log-type stability for the Calder\'on problem with conductivities in $ C^{1,\varepsilon}(\bar{\Omega}) $. We follow the lines of a recent work by Haberman and Tataru in which they prove uniqueness for $ C^1(\bar{\Omega}) $.

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Pedro Caro, Andoni García, Juan Manuel Reyes. 2012-05-11. Stability of the Calder\'on problem for less regular conductivities. https://arxiv.org/abs/1205.2487

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