Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation
Spectral Theory
2009-05-21 v1 Analysis of PDEs
Abstract
We determine the general form of the asymptotics for Dirichlet eigenvalues of the one-dimensional linear damped wave operator. As a consequence, we obtain that given a spectrum corresponding to a constant damping term this determines the damping term in a unique fashion. We also derive a trace formula for this problem.
Cite
@article{arxiv.0905.3242,
title = {Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation},
author = {Denis Borisov and Pedro Freitas},
journal= {arXiv preprint arXiv:0905.3242},
year = {2009}
}