Spectral determinant for the damped wave equation on an interval
Mathematical Physics
2023-07-19 v1 math.MP
Spectral Theory
Abstract
We evaluate the spectral determinant for the damped wave equation on an interval of length with Dirichlet boundary conditions, proving that it does not depend on the damping. This is achieved by analysing the square of the damped wave operator using the general result by Burghelea, Friedlander, and Kappeler on the determinant for a differential operator with matrix coefficients.
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Cite
@article{arxiv.1908.06862,
title = {Spectral determinant for the damped wave equation on an interval},
author = {Pedro Freitas and Jiří Lipovský},
journal= {arXiv preprint arXiv:1908.06862},
year = {2023}
}
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11 pages