Well-Posedness of the Hodge Wave Equation on a Compact Manifold
Analysis of PDEs
2025-07-08 v2
Abstract
In this work, we study the Hodge wave equation on a compact orientable manifold. We present the necessary differential geometry language to treat Sobolev spaces of differential forms and use these tools to identify a boundary triplet for the problem. We use this boundary triplet to determine a class of boundary conditions for which the problem is well-posed.
Cite
@article{arxiv.2502.01514,
title = {Well-Posedness of the Hodge Wave Equation on a Compact Manifold},
author = {Filippo Testa},
journal= {arXiv preprint arXiv:2502.01514},
year = {2025}
}