Stability result for a time dependent potential in a waveguide
Analysis of PDEs
2012-03-07 v1
Abstract
We consider the operator in 2D or 3D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the time dependent part of the potential for this particular geometry. Two cases are considered: the bounded waveguide with mixed Dirichlet and Neumann conditions and the open waveguide with Dirichlet boundary conditions.
Cite
@article{arxiv.1203.1218,
title = {Stability result for a time dependent potential in a waveguide},
author = {Patricia Gaitan and Yavar Kian},
journal= {arXiv preprint arXiv:1203.1218},
year = {2012}
}