GLOBAL UNIQUENESS FOR THE CALDERÓN PROBLEM WITH LIPSCHITZ CONDUCTIVITIES

By Pedro Caro, Keith McKenzie Rogers. Forum of Mathematics, Pi, 2014

116 citations recorded by the source corpus.

We prove uniqueness for the Calderón problem with Lipschitz conductivities in higher dimensions. Combined with the recent work of Haberman, who treated the three- and four-dimensional cases, this confirms a conjecture of Uhlmann. Our proof builds on the work of Sylvester and Uhlmann, Brown, and Haberman and Tataru who proved uniqueness for $C^{1}$ -conductivities and Lipschitz conductivities sufficiently close to the identity.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7f36ff9a9e4919a1f0299586b7fa2960d9e62c28

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Bastian von Harrach
2. Mikko Salo
3. Gunther Uhlmann
4. Katya Krupchyk

In Control and Systems Engineering

1. Bastian von Harrach
2. Mikko Salo

In Mathematical Physics

1. Bastian von Harrach
2. Valter Pohjola
3. Mikko Salo
4. Gunther Uhlmann
5. Jesse Railo
6. Keijo Monkkonen
7. Giovanni Covi
8. Katya Krupchyk

Citations in the corpus

• Monotonicity and local uniqueness for the Helmholtz equation (2017, background): “For a short list of seminal contributions for full boundary data let us refer to [Kohn and Vogelius 1984; 1985; Druskin 1998; Sylvester and Uhlmann 1987; Nachman 1996; Astala and Päivärinta 2006; Haberman and Tataru 2013; Caro and Rogers 2016].”