ⓘ Pierre-Louis Lions


ⓘ Pierre-Louis Lions

His parents were Jacques-Louis Lions, a mathematician and at that time professor at the University of Nancy, who became President of the International Mathematical Union, and Andree Olivier, his wife. He graduated from the Ecole normale superieure in 1977 same year as Jean-Christophe Yoccoz, another Fields Medalist. Refusing to take the agregation in Mathematics, he chose to carry out research in applied mathematics and received his doctorate from the University of Pierre and Marie Curie in 1979.

Lions received the Fields Medal, for his work on theory of nonlinear partial differential equations, in 1994 while working at the University of Paris-Dauphine. He was the first to give a complete solution to the Boltzmann equation with proof. Other awards Lions received include the IBM Prize in 1987 and the Philip Morris Prize in 1991. He was an invited professor at the Conservatoire national des arts et metiers 2000. He is a doctor honoris causa of Heriot-Watt University Edinburgh, Narvik University College 2014, and of the City University of Hong-Kong and is listed as an ISI highly cited researcher. He holds the position of Professor of Partial differential equations and their applications at the College de France in Paris as well as a position at Ecole Polytechnique.

In the paper "Viscosity solutions of Hamilton-Jacobi equations" 1983, written with Michael G. Crandall, he introduced the notion of viscosity solutions. This has had an effect on the theory of partial differential equations.


1. Bibliography

  • Lasry, J. M.; Lions, P. L. 2006. "Jeux à champ moyen. I – Le cas stationnaire". Comptes Rendus Mathematique. 343 9: 619. doi:10.1016/j.crma.2006.09.019.
  • Lasry, J. M.; Lions, P. L. 2007. "Mean field games" PDF. Japanese Journal of Mathematics. 2: 229–260. doi:10.1007/s11537-007-0657-8.
  • Lasry, J. M.; Lions, P. L. 2006. "Jeux à champ moyen. II – Horizon fini et controle optimal". Comptes Rendus Mathematique. 343 10: 679. doi:10.1016/j.crma.2006.09.018.
  • Pierre-Louis Lions, Equations aux derivees partielles et applications, Cours et travaux du College de France, Paris, 2002-2015.
  • Lions, P. L.; Lasry, J. M. 2007. "Large investor trading impacts on volatility". Annales de lInstitut Henri Poincare C. 24 2: 311. Bibcode:2007AIHPC.24.311L. doi: 10.1016/j.anihpc.2005.12.006.