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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. KimDepartment 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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