Exact observability properties of subelliptic wave and Schr{\"o}dinger equations

CaGE ); Cyril Letrouit (LJLL (UMR\_7598); DMA

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Exact observability properties of subelliptic wave and Schr{\"o}dinger equations

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arxiv 2101.05489 v2 pith:NOJOVUWK submitted 2021-01-14 math.AP math.OCmath.SP

Cyril Letrouit (LJLL (UMR_7598) , DMA , CaGE ) This is my paper · ORCID

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keywords exactanalysisequationsobservabilitypropertiesschrsubellipticwave

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In this survey paper, we report on recent works concerning exact observability (and, by duality, exact controllability) properties of subelliptic wave and Schr{\"o}dinger-type equations. These results illustrate the slowdown of propagation in directions transverse to the horizontal distribution. The proofs combine sub-Riemannian geometry, semi-classical analysis, spectral theory and non-commutative harmonic analysis.

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