Uniqueness in Calderón’s problem with Lipschitz conductivities
Authors:
- Boaz HabermanBHBoaz Haberman
- Daniel TataruDTDaniel Tataru
- 15 February 2013
- journal article
- Published by Duke University Press in Duke Mathematical Journal
- Vol. 162 (3) , 497-516
Abstract
We use Xs,b-inspired spaces to prove a uniqueness result for Calderón’s problem in a Lipschitz domain Ω under the assumption that the conductivity lies in the space W1,∞(Ω‾). For Lipschitz conductivities, we obtain uniqueness for conductivities close to the identity in a suitable sense. We also prove uniqueness for arbitrary C1 conductivities.Keywords
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