Representation of Classical Solutions to a Linear Wave Equation with Pure Delay
Analysis of PDEs
2014-01-23 v1
Abstract
For a wave equation with pure delay, we study an inhomogeneous initial-boundary value problem in a bounded 1D domain. Under smoothness assumptions, we prove unique existence of classical solutions for any given finite time horizon and give their explicit representation. Continuous dependence on the data in a weak extrapolated norm is also shown.
Cite
@article{arxiv.1401.5667,
title = {Representation of Classical Solutions to a Linear Wave Equation with Pure Delay},
author = {Denys Khusainov and Michael Pokojovy and Elvin Azizbayov},
journal= {arXiv preprint arXiv:1401.5667},
year = {2014}
}
Comments
11 pages, 1 figure