JournalsjstVol. 12, No. 3pp. 1235–1253

Propagation of well-prepared states along Martinet singular geodesics

  • Yves Colin de Verdière

    Université Grenoble-Alpes, Saint Martin d’Hères, France

  • Cyril Letrouit

    Sorbonne Université, Université Paris-Diderot, CNRS; PSL Research University, Paris, France
Propagation of well-prepared states along Martinet singular geodesics cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

We prove that for the Martinet wave equation with “flat” metric, which is 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.

Cite this article

Yves Colin de Verdière, Cyril Letrouit, Propagation of well-prepared states along Martinet singular geodesics. J. Spectr. Theory 12 (2022), no. 3, pp. 1235–1253

DOI 10.4171/JST/421