Oct 9 – 11, 2023
LMU Munich
Europe/Paris timezone

High frequency controllability cost of linear hyperbolic systems, with a long gaze at localized data.

Oct 10, 2023, 1:15 PM
1h
B101 (LMU Munich)

B101

LMU Munich

Ludwig-Maximilians-Universität München Mathematisches Institut Theresienstr. 39 80333 München

Speaker

Vincent Laheurte (Institut de Mathématiques de Bordeaux)

Description

We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and pseudo-differential systems obtained by linearization in fluid mechanics. In particular we investigate the cost of localized initial data, and in the dispersive case, of initial data which are semi-classically microlocalized.

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