Strong unique continuation for two-dimensional anisotropic elliptic systems
Analysis of PDEs
2017-10-02 v1
Abstract
In this paper, we give the strong unique continuation property for a general two dimensional anisotropic elliptic system with real coefficients in a Gevrey class under the assumption that the principal symbol of the system has simple characteristics. The strong unique continuation property is derived by obtaining some Carleman estimate. The derivation of the Carleman estimate is based on transforming the system to a larger second order elliptic system with diagonal principal part which has complex coefficients.
Cite
@article{arxiv.1709.10228,
title = {Strong unique continuation for two-dimensional anisotropic elliptic systems},
author = {Rulin Kuan and Gen Nakamura and Satoshi Sasayama},
journal= {arXiv preprint arXiv:1709.10228},
year = {2017}
}
Comments
15 pages