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Issue ESAIM: Proc.
Volume 26, 2009
Mathematical methods for imaging and inverse problems
Page(s) 45 - 54
DOI http://dx.doi.org/10.1051/proc/2009004
Published online 25 April 2009

ESAIM: Proc., 2009, Vol. 26, pp. 45-54
DOI: 10.1051/proc/2009004

Global uniqueness and Lipschitz stability of residual stress from one boundary measurement

V. Isakov and N. Kim

Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67260-0033, USA;

isakov@wichita.edu

Published online: 25 April 2009

Abstract
In this paper, we consider an elasticity system with residual stress. We are interested in recovery of the residual stress from one boundary measurement. We obtain uniqueness and the (best possible) Lipschitz stability results without any smallness assumption.



Mathematics Subject Classification. 35R30

Key words: Lipschitz stability, uniqueness result, residual stress, single boundary measurement.


© EDP Sciences, ESAIM 2009


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