Laurent Véron
Laurent Véron (born February 26, 1949 in Brazzaville , Congo ) is a French mathematician who deals with partial differential equations. He is a professor at the University of Tours .
Véron went to school in Neuilly and Paris ( Lycée Louis-le-Grand ). He studied at the University of Paris with a degree in 1970 and the DEA in 1971 and the Agrégation in 1972. He was trained by Haïm Brezis (Comportement asymptotique et singularités des solutions d'équations aux dérivées partielles non linéaires) and Yvonne Choquet-Bruhat (Specter du laplacien et longueur des géodésiques périodiques) (in the two-part French doctoral system, with the Thése de Doctorat 1980). He had been at Tours University since 1972, where he became professor in 1985. From 1978 to 1980 he headed the mathematics faculty. In 1980/81 he was visiting professor at Northwestern University and also at the Universidad Complutense in Madrid, the Technion (collaboration with Moshe Marcus ) and Purdue University .
He examined the singularities of nonlinear elliptic partial differential equations. With Haim Brezis, he proved that isolated singularities can be removed in the supercritical case, in contrast to the subcritical case, in which Veron the classification of the singular solutions. He then started a program of investigating marginal singularities of elliptic partial differential equations, in collaboration with M. Marcus. They showed that in the subcritical case the solution is determined by the trace at the edge. The supercritical case turned out to be much more difficult and was only resolved after 15 years of research (partly in collaboration with probability theorists such as Jean-François Le Gall and Eugene Dynkin , who were interested in it in connection with superdiffusion processes).
In 2006 he received the Prix Servant .
Fonts
- Singular solutions of some nonlinear elliptic equations, Nonlinear Anal. TM & A, 5, 225-242 (1981).
- with MF Bidaut-Véron: Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations, Inventiones Math. 106, 489-539 (1991).
- with A. Gmira: Boundary singularities of solutions of nonlinear elliptic equations, Duke J. Math. 64, 271-324 (1991).
- with M. Marcus: Capacitary estimates of positive solutions of semilinear elliptic equations with absorption, J. Europ. Math. Soc. 6: 483-527 (2004).
Web links
Individual evidence
- ↑ Brezis, Veron Removable Singularities of some nonlinear elliptic equations , Arch. Rat. Mech. Anal. 75, 1980, 1-6
- ↑ Laudation Prix Servant, pdf ( Memento of the original from May 25, 2013 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.
- ^ Marcus, Veron The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case , Arch. Rat. Mech. Anal. 144, 1998, 201-231, ...: the supercritical case , J. Math. Pures Appl. 77, 1998, 481-521
| personal data | |
|---|---|
| SURNAME | Véron, Laurent |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | February 26, 1949 |
| PLACE OF BIRTH | Brazzaville |