Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
By Russell M. Brown. 2001
85 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/37e81c29e1c7805121d7e2050bc49a55257a40d0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Computational Theory and Mathematics
- Mikko Salo
- Gunther Uhlmann
- Alberto Ruiz
- Daniel Faraco
- Tomeu Barceló
- Russell M. Brown
- Katya Krupchyk
- Matti Lassas
In Mathematical Physics
- Mikko Salo
- Gunther Uhlmann
- Alberto Ruiz
- Daniel Faraco
- Tomeu Barceló
- Russell M. Brown
- Katya Krupchyk
- Yi-Hsuan Lin
Citations in the corpus
- Identifiability at the boundary for first-order terms (2006, methodology): “By contrast, the recovery of a conductivity in the work of Brown [2] only requires the standard energy estimate for the gradient of a solution.”
- Inverse Problems for Nonsmooth First Order Perturbations of the Laplacian (2004, methodology): “Nachman-Sylvester-Uhlmann [27] proved the result for σ ∈W 2,∞, Brown [8] for σ ∈ C3/2+ε using singular zero order perturbations of ∆, Päivärinta-Panchenko-Uhlmann [34] for σ ∈ C3/2 by convolution approximation, and Brown-Torres [10] for σ ∈W 3/2,2n+ε. Uniqueness for C1+ε conormal conductivities wa”
- Inverse problems: seeing the unseen (2014, background): “For other results and approaches to boundary determination of the conductivity see [5,31,135,141].”
- Electrical impedance tomography and Calderón's problem (2009, background): “For other results and approaches to boundary determination of the conductivity see [4], [18], [92], [97].”
- Stability of Calderón inverse conductivity problem in the plane (2007, background): “This is the content of the following proposition which follows easily from [14].”
- GLOBAL UNIQUENESS FOR THE CALDERÓN PROBLEM WITH LIPSCHITZ CONDUCTIVITIES (2014, unknown): “Brown [5], we know that γ1|∂Ω = γ2|∂Ω.”