Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress

Nanhee Kim

doi:10.3934/eect.2013.2.679

Article Contents

2013, Volume 2, Issue 4: 679-693. Doi: 10.3934/eect.2013.2.679

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Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress

Nanhee Kim^1,

1.
Wichita State University, 1845 Fairmount, Wichita, KS 67260-0033

Received: December 2012

Revised: July 2013

Published: December 2013

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Abstract

By introducing some auxiliary functions, an elasticity system with thermal effects becomes a coupled hyperbolic-parabolic system. Using this reduced system, we obtain a Carleman estimate with two large parameters for the linear thermoelasticity system with residual stress which is the basic tool for showing stability estimates in the lateral Cauchy problem.

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Mathematics Subject Classification: Primary: 35L51, 35M30; Secondary: 35K10, 58J35.

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References

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