Conditional stability of Calder\'on problem for less regular conductivities
Update: 2014-02-27
Description
Co-authors: Pedro Caro (University of Helsinki), Andoni García (University of Jyväskylä)
A recent log-type conditional stability result with H\"older norm for the Calder\'on problem will be presented, assuming continuously differentiable conductivities with H\"older continuous first-order derivatives in a Lipschitz domain of the Euclidean space with dimension greater than or equal to three.
This is a joint work with Pedro Caro from the University of Helsinki and Andoni Garc\'ia from the University of Jyv\"askyl\"a. The idea of decay in average used by B. Haberman and D. Tataru to obtain their uniqueness result for either continuously differentiable conductivities or Lipschitz conductivities such that their logarythm has small gradient in a Lipschitz domain of Rn with n≥3 is followed.
A recent log-type conditional stability result with H\"older norm for the Calder\'on problem will be presented, assuming continuously differentiable conductivities with H\"older continuous first-order derivatives in a Lipschitz domain of the Euclidean space with dimension greater than or equal to three.
This is a joint work with Pedro Caro from the University of Helsinki and Andoni Garc\'ia from the University of Jyv\"askyl\"a. The idea of decay in average used by B. Haberman and D. Tataru to obtain their uniqueness result for either continuously differentiable conductivities or Lipschitz conductivities such that their logarythm has small gradient in a Lipschitz domain of Rn with n≥3 is followed.
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