Logarithmic decay of hyperbolic equations with arbitrary boundary damping
Analysis of PDEs
2008-05-07 v1 Optimization and Control
Abstract
In this paper, we study the logarithmic stability for the hyperbolic equations by arbitrary boundary observation. Based on Carleman estimate, we first prove an estimate of the resolvent operator of such equation. Then we prove the logarithmic stability estimate for the hyperbolic equations without any assumption on an observation subboundary.
Cite
@article{arxiv.0805.0625,
title = {Logarithmic decay of hyperbolic equations with arbitrary boundary damping},
author = {Xiaoyu Fu},
journal= {arXiv preprint arXiv:0805.0625},
year = {2008}
}