Guy Métivier

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Guy Métivier (born February 18, 1950 in Angers ) is a French mathematician who deals with partial differential equations.

Métivier studied from 1969 at the École Normale Supérieure de Saint-Cloud and obtained his DEA degree at the University of Paris-Süd in Orsay in 1971, where he also did his doctorate under Charles Goulaouic (Thèse 3eme Cycle) with the second part of his doctorate in 1976 Goulaouic at the University of Nice (Sophia Antipolis). He was then until 1980 Attaché de Recherche of the CNRS in Nice and 1979/80 Associate Professor at Purdue University . From 1980 he was professor at the University of Rennes I and has been professor at the University of Bordeaux since 2002 . There he is director of the IMB (Institut de Mathématiques de Bordeaux).

He deals with nonlinear waves and shock waves, nonlinear geometric optics, hyperbolic partial differential equations and hydrodynamics (e.g. boundary layer theory). He has published with Jeffrey Rauch and Salah Baouendi , among others .

Metivier proved a uniqueness theorem similar to Erik Holmgren's (linear case) for nonlinear partial differential equations of the first order. Here, however, the order plays a role: Metivier gave counterexamples for nonlinear partial differential equations of higher order (or the equivalent problem of systems of partial differential equations).

Métivier was a senior member of the Institut Universitaire de France from 1997 to 2007. In 1985 he was visiting professor at Rutgers University .

In 2009 he was elected by the CNRS as the founding director of the planned Institute for Mathematics of the CNRS (INSMS).

In 2008 he received the Prix ​​Servant and in 1993 the Prix Lequeux of the Académie des Sciences . In 1980 he received the bronze medal of the CNRS.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Metivier Uniqueness and approximation of solutions of first order nonlinear equations , Inventiones Mathematicae, Volume 82, 1985, pp. 263-282
  3. Metivier counterexamples to Holmgren's uniqueness for analytic nonlinear Cauchy problems , Inv. Math., 112: 217-222 (1993). Another example was given by Lars Hörmander Math. Res. Letters 7, 2000, 615
  4. CNRS press release