Haïm pretzels
Haïm Brezis , also Brézis , (born June 1, 1944 in Riom-ès-Montagnes ) is a French mathematician who deals with partial differential equations.
Live and act
Brézis obtained his doctorate in 1971 under Gustave Choquet ( Problemes unilateraux ) at the University of Paris. From 1973 to 1985 he was Maître de conférences at the École polytechnique . He has been a professor at the University of Pierre and Marie Curie (Université Paris VI) since 1972 , where he has now retired. Since 1987 he has been Distinguished Visiting Professor at Rutgers University and since 2004 at Technion Haifa .
He deals with nonlinear partial differential equations and nonlinear functional analysis (nonlinear semigroups, monotonic operators , variational inequalities). He also dealt with special partial differential equations from mathematical physics and their behavior near singularities, e.g. B. the Ginzburg-Landau equations from the theory of superconductors and their vortex solutions, evolution equations, non-linear oscillation equations , the Thomas-Fermi theory (statistical equations for the electron distribution in atoms and molecules) and from the theory of liquid crystals . In a similar way, he dealt with the singular behavior of partial differential equations in problems of differential geometry.
Brezis is a pioneer in the introduction of topological methods in the study of harmonic mappings between manifolds (to which many problems in mathematical physics lead), especially in the Sobolev spaces of mappings. Here he worked with Jean-Michel Coron , Li Yanyan , Laurent Véron and Louis Nirenberg , among others .
He was a corresponding member of the Académie des sciences since 1986 and a full member since 1988 . He is also a member of the National Academy of Sciences , the American Academy of Arts and Sciences , the Romanian, Belgian, Royal Spanish Academies of Sciences, the Accademia Nazionale dei Lincei and the Academia Europaea . From 2004 to 2008 he was Vice President of the American Mathematical Society , of which he is a fellow. He has honorary doctorates from the Universities of Leiden , Haifa, Bucharest , Beijing, Leuven , Madrid , Shanghai , the Scuola Internazionale Superiore di Studi Avanzati in Trieste and Iași . In 1973 he received the Prix Peccot des Collège de France . In 1976 he received the Prix Carrière and in 1985 the Prix Ampère of the Académie des Sciences. In 1990 he received the Prix Catalan of the Belgian Academy of Sciences . He has been a member of the Institut de France since 1998 .
In 1974 he was invited speaker at the International Congress of Mathematicians in Vancouver (monotone operators, nonlinear semigroups and applications).
His PhD students include Fields Prize winner Pierre-Louis Lions , Henri Berestycki and Jean-Michel Coron .
Fonts
- Opérateurs maximaux monotones. Et semi-groupes de contractions dans les espaces de Hilbert (= North-Holland Mathematics Studies. 5 = Notas de Matematica. 50). North Holland, Amsterdam et al. 1973, ISBN 0-7204-2705-3 .
- Analysis Fonctionnelle. Théorie et Applications. Masson, Paris et al. 1983, ISBN 2-225-77198-7 .
- with Fabrice Béthuel , Frédéric Hélein : Ginzburg-Landau Vortices (= Progress in non-linear Differential Equations and their Applications. 13). Birkhäuser, Boston MA et al. 1994, ISBN 0-8176-3723-0 .
- Un mathématicien juif. Edition Beauchesne, Paris 1999, ISBN 2-7010-1335-6 .
- The interplay between analysis and topology in some nonlinear partial differential equations. In: Bulletin of the American Mathematical Society . Vol. 40, No. 2, 2003, pp. 179-201, doi : 10.1090 / S0273-0979-03-00976-5 .
- Functional analysis, Sobolev spaces and partial differential equations. Springer, New York NY 2011, ISBN 978-0-387-70913-0 .
Web links
- Literature by and about Haïm Brezis in the catalog of the German National Library
- Homepage at the University of Paris
- Brezis at the Academie des Sciences
- Haïm Brezis in the Mathematics Genealogy Project (English)
- Brezis at Rutgers University
personal data | |
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SURNAME | Brezis, Haïm |
ALTERNATIVE NAMES | Brézis, Haïm |
BRIEF DESCRIPTION | French mathematician |
DATE OF BIRTH | June 1, 1944 |
PLACE OF BIRTH | Riom-ès-Montagnes |