On Weak Observability For Evolution Systems with Skew-Adjoint Generators
Analysis of PDEs
2018-12-20 v1
Abstract
In the paper we consider the linear inverse problem that consists in recovering the initial state in a first order evolution equation generated by a skew-adjoint operator. We studied the well-posedness of the inversion in terms of the observation operator and the spectra of the skew-adjoint generator. The stability estimate of the inversion can also be seen as a weak observability inequality. The proof of the main results is based on a new resolvent inequality and Fourier transform techniques which are of interest themselves.
Keywords
Cite
@article{arxiv.1812.07791,
title = {On Weak Observability For Evolution Systems with Skew-Adjoint Generators},
author = {Kaïs Ammari and Faouzi Triki},
journal= {arXiv preprint arXiv:1812.07791},
year = {2018}
}