An observability for parabolic equations from a measurable set in time
Analysis of PDEs
2011-09-20 v1 Systems and Control
Optimization and Control
Abstract
This paper presents a new observability estimate for parabolic equations in , where is a convex domain. The observation region is restricted over a product set of an open nonempty subset of and a subset of positive measure in . This estimate is derived with the aid of a quantitative unique continuation at one point in time. Applications to the bang-bang property for norm and time optimal control problems are provided.
Cite
@article{arxiv.1109.3863,
title = {An observability for parabolic equations from a measurable set in time},
author = {Kim Dang Phung and Gengsheng Wang},
journal= {arXiv preprint arXiv:1109.3863},
year = {2011}
}