Jean-Michel Bony (born 1 February 1942 in Paris) is a French mathematician, specializing in mathematical analysis. He is known for his work on

microlocal analysis In mathematical analysis, microlocal analysis comprises techniques developed from the 1950s onwards based on Fourier transforms related to the study of variable-coefficients-linear and nonlinear partial differential equations. This includes genera ...

and

pseudodifferential operators In mathematical analysis a pseudo-differential operator is an extension of the concept of differential operator. Pseudo-differential operators are used extensively in the theory of partial differential equations and quantum field theory, e.g. i ...

Education and career

Bony completed his undergraduate and graduate studies at the

École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

, where he received his Ph.D in 1972 with thesis advisor Gustave Choquet. Bony became a professor at the

University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...

and is now a professor at the

École Polytechnique École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

. His doctoral students include

Jean-Yves Chemin Jean-Yves Chemin (born 23 April 1959 in Rouen) is a French mathematician, specializing in nonlinear partial differential equations. Education and career Chemin studied from 1979 at the École normale supérieure de Cachan (now named the École no ...

Research

Bony's research deals with

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...

and

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravi ...

. In 1981 he published important results on paradifferential operators, extending the theory of pseudifferential operators published by

Ronald Coifman Ronald Raphael Coifman is the Sterling professor of Mathematics at Yale University. Coifman earned a doctorate from the University of Geneva in 1965, supervised by Jovan Karamata. Coifman is a member of the American Academy of Arts and Sciences, ...

and

Yves Meyer Yves F. Meyer (; born 19 July 1939) is a French mathematician. He is among the progenitors of wavelet theory, having proposed the Meyer wavelet. Meyer was awarded the Abel Prize in 2017. Biography Born in Paris to a Jewish family, Yves Meyer ...

in 1979. Bony applied his theory to the propagation of singularities in solutions of semilinear wave equations.

Recognition

In 1980, Bony received the

Prix Paul Doistau–Émile Blutet The Prix Paul Doistau–Émile Blutet is a biennial prize awarded by the French Academy of Sciences in the fields of mathematics and physical sciences since 1954. Each recipient receives 3000 euros. The prize is also awarded quadrennially in bio ...

. He was elected a corresponding member and a full member of the French Academy of Sciences in 1990 and 2000 respectively. He was an Invited Speaker at the ICM in 1970 in Nice and in 1983 in Warsaw.

Selected publications

Articles

*with Philippe Courrège and Pierre Priouret
"Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégro-différentiels du second ordre donnant lieu au principe du maximum."
In Annales de l'Institut Fourier, vol. 18, no. 2, pp. 369–521. Institut Fourier, 1968.
"Principe du maximum, inégalité de Harnack et unicité du probleme de Cauchy pour les opérateurs elliptiques dégénérés."
In Annales de l'Institut Fourier, vol. 19, no. 1, pp. 277–304. 1969. *with Pierre Schapira
"Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles."
In Annales de l'Institut Fourier, vol. 26, no. 1, pp. 81–140. 1976.
"Interaction des singularités pour les équations aux dérivées partielles non linéaires."
Séminaire Équations aux dérivées partielles (Polytechnique) (1979): 1–11. *with Nicolas Lerner
"Quantification asymptotique et microlocalisations d'ordre supérieur. I."
In Annales Scientifiques de l'École Normale Supérieure, vol. 22, no. 3, pp. 377–433. 1989. *with Jean-Yves Chemin
"Espaces fonctionnels associés au calcul de Weyl-Hörmander."
Bulletin de la société Mathématique de France 122, no. 1 (1994): 77–118.

Books

Éditions de l'École Polytechnique 1992

Èditions de l'École Polytechnique 2000

Sources

* Gilles Lebeau (ed.): ''Autour de l’analyse microlocale: volume en l’honneur de Jean-Michel Bony'', SMF, AMS 2003

References

External links

Bony's website at the École Polytechnique

Bony's author profile
in the database

zbMATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure mathematics, pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Informa ...

{{DEFAULTSORT:Bony, Jean-Michel 1942 births Living people École Normale Supérieure alumni École Polytechnique faculty 20th-century French mathematicians Mathematical analysts PDE theorists Members of the French Academy of Sciences Prix Paul Doistau–Émile Blutet laureates 21st-century French mathematicians