Articles liés à Carleman estimates for the general second order operators

Carleman estimates for the general second order operators - Couverture souple

Kim, Nanhee

 
9783659431968: Carleman estimates for the general second order operators

Synopsis

We derive Carleman estimates with two large parameters for a general partial differential operator of second order under explicit sufficient global conditions of pseudo-convexity on the weight function. We use these estimates to derive the most natural Carleman type estimates for the anisotropic system of elasticity with residual stress. Also, we give applications to uniqueness and stability of the continuation, observability, and identification of the residual stress from boundary measurements.

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Présentation de l'éditeur

We derive Carleman estimates with two large parameters for a general partial differential operator of second order under explicit sufficient global conditions of pseudo-convexity on the weight function. We use these estimates to derive the most natural Carleman type estimates for the anisotropic system of elasticity with residual stress. Also, we give applications to uniqueness and stability of the continuation, observability, and identification of the residual stress from boundary measurements.

Biographie de l'auteur

Dr. Kim has obtained her Ph.D degree in Applied Mathematics in 2010. She has been working in Inverse Problem of partial differential equations and Carleman estimates for anisotropic systems.

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