Horizontal and Vertical Regularity of Elastic Wave Geometry
Differential Geometry
2025-11-21 v1 Algebraic Geometry
Analysis of PDEs
Abstract
The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic and algebraic properties a general anisotropic stiffness tensor field has to satisfy in order for Finsler-geometric methods to be applicable in studying inverse problems related to imaging with elastic waves.
Cite
@article{arxiv.2511.16466,
title = {Horizontal and Vertical Regularity of Elastic Wave Geometry},
author = {Joonas Ilmavirta and Pieti Kirkkopelto and Antti Kykkänen},
journal= {arXiv preprint arXiv:2511.16466},
year = {2025}
}
Comments
30 pages