Unique continuation property for the elasticity with general residual stress | Zendy

Günther Uhlmann | Zendy; JennNan Wang | Zendy

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Unique continuation property for the elasticity with general residual stress

Author(s) -

Günther Uhlmann,

JennNan Wang

Publication year - 2009

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2009.3.309

Subject(s) - continuation , elasticity (physics) , property (philosophy) , residual , computer science , mathematics , mathematical optimization , algorithm , programming language , physics , thermodynamics , philosophy , epistemology

We prove the unique continuation property for the isotropic elas- ticity system with arbitrarily large residual stress. This work improves the result obtained in (10) where the residual stress is assumed to be small. 1. Introduction. In this paper we prove the unique continuation property (UCP) for the isotropic elasticity system with residual stress. Residual stresses are stresses that remain after the original cause of the stresses has been removed. We consider the case of large residual stresses. We formulate the mathematical problem and the result more precisely below. Let

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