Carleman estimate and its application for anomalous slow diffusion equation
Analysis of PDEs
2014-09-16 v3
Abstract
A Carleman estimate and the unique continuation of solutions for an anomalous diffusion equation with fractional time derivative of order are given. The estimate is derived via some subelliptic estimate for an operator associated to the anomalous diffusion equation using calculus of pseudo-differential operators.
Cite
@article{arxiv.1312.7639,
title = {Carleman estimate and its application for anomalous slow diffusion equation},
author = {Ching-Lung Lin and Gen Nakamura},
journal= {arXiv preprint arXiv:1312.7639},
year = {2014}
}