Carleman estimate and unique continuation for a structured population model
Analysis of PDEs
2014-12-24 v1
Abstract
We consider a time-dependent structured population model equation and establish a Carleman estimate. We apply the Carleman estimate to prove the unique continuation which means that Cauchy data on any lateral boundary determine the solution uniquely.
Cite
@article{arxiv.1412.7402,
title = {Carleman estimate and unique continuation for a structured population model},
author = {Masaaki Uesaka and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1412.7402},
year = {2014}
}
Comments
18 pages