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Pierre-Louis Lions



Pierre-Louis Lions
Pierre-Louis Lions
Pierre-Louis Lions
Born August 11, 1956
Nationality French
Fields mathematics
Institutions University of Paris-Dauphine
Known for nonlinear partial differential equations
Notable awards Fields Medal in 1994

Pierre-Louis Lions (born August 11, 1956) is a French mathematician. His parents were Jacques-Louis Lions, a mathematician and professor at the University of Nancy, and Andrée Olivier, his wife. He received his doctorate from the University of Pierre and Marie Curie in 1979.

He studies the theory of nonlinear partial differential equations, and received the Fields Medal for his mathematical work in 1994 while working at the University of Paris-Dauphine. Lions was the first to give a complete solution to the Boltzmann equation with a proof. Other awards Lions received include the IBM Prize in 1987 and the Philip Morris Prize in 1991. He is a doctor honoris causa of Heriot-Watt University (Edinburgh) and of the City University of Hong-Kong. Currently, he holds the position of Professor of Partial differential equations and their applications at the prestigious College de France in Paris as well as a position at Ecole Polytechnique.

In the paper "Viscosity solutions of Hamilton-Jacobi equations", written with Michael Crandall, he introduced the notion of viscosity solutions. This has had a great effect on the theory of partial differential equations.

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