Subelliptic wave equations: control and propagation of singularities

École Normale Supérieure

Date(s) : 04/05/2021   iCal
11 h 00 min - 12 h 00 min

We present two results about subelliptic wave equations, i.e.,
wave equations with a subelliptic Laplacian. The first one concerns
control theory: it says that subelliptic wave equations are never
controllable/observable. The second one concerns the propagation of
singularities for these equations: revisiting a paper by Melrose, we
describe how singularities of the initial datum propagate when time
evolves, and relate these results to modern sub-Riemannian geometry.


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