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SCAPDE Résumé de rapport

Project ID: 320845
Financé au titre de: FP7-IDEAS-ERC
Pays: France

Mid-Term Report Summary - SCAPDE (Semi-Classical Analysis and Partial Differential Equations)

We have obtain new Strichartz estimates for waves inside strictly convex domains. This apply to the study of non linear waves in domain with boundaries.
For control problems in Partial Differential Equations, we have extend the classical "Geometric Control Condition" of Bardos-Lebeau-Rauch to the case of moving in time controls domain,
answering a question raised in geophysical prospection.
We have obtained precise rate of convergence for Markov-Chain-Monte-Carlo algorithms of Metropolis type in the case of elementary moves driven by a system of hypoelliptic vector fields.


Gilles LEBEAU, (Professor)
Tél.: +33 4 92 07 62 43
Fax: +33 4 93 51 79 74