Strong unique continuation for a residual stress system with Gevrey coefficients
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Abstract:
We consider the problem of the strong unique continuation for an elasticity system with general residual stress. Due to the known counterexamples, we assume the coefficients of the elasticity system are in the Gevrey class of appropriate indices. The main tools are Carleman estimates for product of two second order elliptic operators.References
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Additional Information
- Yi-Hsuan Lin
- Affiliation: Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan
- Received by editor(s): April 20, 2015
- Received by editor(s) in revised form: June 25, 2015
- Published electronically: October 8, 2015
- Communicated by: Svitlana Mayboroda
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2171-2183
- MSC (2010): Primary 35B60, 35R30, 74B10
- DOI: https://doi.org/10.1090/proc/12892
- MathSciNet review: 3460176