Carleman and Observability Estimates for Stochastic Wave Equations
Analysis of PDEs
2007-05-23 v1 Optimization and Control
Abstract
Based on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with non-smooth lower order terms. Moreover, the observability constant is estimated by an explicit function of the norm of the involved coefficients in the equation.
Cite
@article{arxiv.math/0703599,
title = {Carleman and Observability Estimates for Stochastic Wave Equations},
author = {Xu Zhang},
journal= {arXiv preprint arXiv:math/0703599},
year = {2007}
}
Comments
12 pages