Propagation of well-prepared states along Martinet singular geodesics
Analysis of PDEs
2021-09-17 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We prove that for the Martinet wave equation with "flat" metric, which a subelliptic wave equation, singularities can propagate at any speed between 0 and 1 along any singular geodesic. This is in strong contrast with the usual propagation of singularities at speed 1 for wave equations with elliptic Laplacian.
Keywords
Cite
@article{arxiv.2105.03305,
title = {Propagation of well-prepared states along Martinet singular geodesics},
author = {Yves Colin de Verdière and Cyril Letrouit},
journal= {arXiv preprint arXiv:2105.03305},
year = {2021}
}
Comments
Journal of Spectral Theory, European Mathematical Society, In press