The wave equation with specular derivatives
Analysis of PDEs
2022-10-14 v1 Functional Analysis
Abstract
In this paper, we construct the transport equation and the wave equation with specular derivatives and solve these equations in one-dimension. To solve these equations, we introduce new function spaces, which we term specular spaces, consisting of certain specularly differentiable functions.
Cite
@article{arxiv.2210.06933,
title = {The wave equation with specular derivatives},
author = {Kiyuob Jung and Jehan Oh},
journal= {arXiv preprint arXiv:2210.06933},
year = {2022}
}
Comments
23 pages, 7 figures