Propagation of well-prepared states along Martinet singular geodesics

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.

arXiv commentJournal of Spectral Theory, European Mathematical Society, In press