Carleman Estimates for Parabolic Operators with Discontinuous and Anisotropic Diffusion Coefficients, an Elementary Approach
Optimization and Control
2019-05-07 v2 Analysis of PDEs
Abstract
By using some deep tools from microlocal analysis, J. Le Rousseau and L. Robbiano (Invent. Math., 183 (2011), 245--336) established several Carleman estimates for parabolic operators with isotropic diffusion coefficients which have jumps at interfaces. In this paper, we revisit the same problem but for the general case of anisotropic diffusion coefficients. Our main tools are a pointwise estimate for parabolic operators and a suitable chosen weight function.
Keywords
Cite
@article{arxiv.1301.0486,
title = {Carleman Estimates for Parabolic Operators with Discontinuous and Anisotropic Diffusion Coefficients, an Elementary Approach},
author = {Qi Lü and Xu Zhang},
journal= {arXiv preprint arXiv:1301.0486},
year = {2019}
}
Comments
The result is not satisfied