Unique continuation property for the elasticity with general residual stress

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May 2009, 3(2): 309-317. doi: 10.3934/ipi.2009.3.309

Unique continuation property for the elasticity with general residual stress

Gunther Uhlmann ^1, and Jenn-Nan Wang ^2,

1.	Department of Mathematics, University of Washington, Seattle, WA 98195-4350
2.	Department of Mathematics, TIMS and CTS(Taipei), National Taiwan University, Taipei 106, Taiwan

Received January 2009 Revised March 2009 Published May 2009

Abstract
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We prove the unique continuation property for the isotropic elasticity system with arbitrarily large residual stress. This work improves the result obtained in [10] where the residual stress is assumed to be small.

Keywords: Unique continuation property, residual stress..

Mathematics Subject Classification: Primary: 35B60, 74B10; Secondary: 35J4.

Citation: Gunther Uhlmann, Jenn-Nan Wang. Unique continuation property for the elasticity with general residual stress. Inverse Problems & Imaging, 2009, 3 (2) : 309-317. doi: 10.3934/ipi.2009.3.309

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