Unique continuation property for the elasticity with general residual stress

Gunther Uhlmann; Jenn-Nan Wang

doi:10.3934/ipi.2009.3.309

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2009, Volume 3, Issue 2: 309-317. Doi: 10.3934/ipi.2009.3.309

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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

Received: December 31, 2008

Revised: February 28, 2009

Published: April 2009

Abstract Related Papers Cited by

Abstract

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: 35J45.

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