The reconstruction of a wave equation from one side measurement
Analysis of PDEs
2019-01-09 v1
Abstract
We are concerned with the reconstruction of a one dimensional wave equation, where the potential is known in a neighborhood of one of the end points of the boundary. We show then the sought potential can be determined by one single measurement of the solution at that end. We also show that the solution can be evaluated at the other end without the need of solving the wave the equation.
Keywords
Cite
@article{arxiv.1901.02138,
title = {The reconstruction of a wave equation from one side measurement},
author = {Amin Boumenir and Vu Kim Tuan},
journal= {arXiv preprint arXiv:1901.02138},
year = {2019}
}