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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.
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https://hal.archives-ouvertes.fr/hal-03220110
Contributor : Cyril Letrouit <>
Submitted on : Friday, May 7, 2021 - 4:33:42 PM
Last modification on : Wednesday, June 2, 2021 - 4:27:35 PM

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prop-Martinet-v5.pdf
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  • HAL Id : hal-03220110, version 1
  • ARXIV : 2105.03305

Citation

Yves Colin de Verdière, Cyril Letrouit. Propagation of well-prepared states along Martinet singular geodesics. 2021. ⟨hal-03220110⟩

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