Strong unique continuation for a residual stress system with Gevrey coefficients

Lin, Yi-Hsuan

doi:10.1090/proc/12892

Strong unique continuation for a residual stress system with Gevrey coefficients
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Proc. Amer. Math. Soc. 144 (2016), 2171-2183 Request permission

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.

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