Calculus on Wave Fronts
Analysis of PDEs
2026-03-24 v1
Abstract
We define a deformation of the exterior derivative that is a bounded operator and preserves the symmetries of the geometry. It satisfies a modified wave equation that honors the strong Huygens principle in all dimensions.
Keywords
Cite
@article{arxiv.2603.21367,
title = {Calculus on Wave Fronts},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2603.21367},
year = {2026}
}
Comments
16 pages, 5 figures