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arXiv · 2105.03305

Propagation of well-prepared states along Martinet singular geodesics

Yves Colin de Verdière·Cyril Letrouit
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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.

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Yves Colin de Verdière, Cyril Letrouit. 2021-05-07. Propagation of well-prepared states along Martinet singular geodesics. https://arxiv.org/abs/2105.03305

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