1. Pierre-Louis Lions is known for a number of contributions to the fields of partial differential equations and the calculus of variations.
19 Facts About Pierre-Louis Lions
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Pierre-Louis Lions was a recipient of the 1994 Fields Medal and the 1991 Prize of the Philip Morris tobacco and cigarette company.
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Pierre-Louis Lions 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.
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In 1979, Pierre-Louis Lions married Lila Laurenti, with whom he has one son.
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Pierre-Louis Lions' parents were Andree Olivier and the renowned mathematician Jacques-Louis Pierre-Louis Lions, at the time a professor at the University of Nancy.
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In 1994, while working at the Paris Dauphine University, Pierre-Louis Lions received the International Mathematical Union's prestigious Fields Medal.
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Pierre-Louis Lions was cited for his contributions to viscosity solutions, the Boltzmann equation, and the calculus of variations.
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Pierre-Louis Lions was an invited professor at the Conservatoire national des arts et metiers.
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Pierre-Louis Lions is a doctor honoris causa of Heriot-Watt University, EPFL, Narvik University College, and of the City University of Hong-Kong and is listed as an ISI highly cited researcher.
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Pierre-Louis Lions's first published article, in 1977, was a contribution to the vast literature on convergence of certain iterative algorithms to fixed points of a given nonexpansive self-map of a closed convex subset of Hilbert space.
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In collaboration with his thesis advisor Haim Brezis, Lions gave new results about maximal monotone operators in Hilbert space, proving one of the first convergence results for Bernard Martinet and R Tyrrell Rockafellar's proximal point algorithm.
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Maria Esteban and Pierre-Louis Lions investigated the nonexistence of solutions in a number of unbounded domains with Dirichlet boundary data.
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Pierre-Louis Lions was able to extend parts of his work with Berestycki to settings without any rotational symmetry.
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Pierre-Louis Lions considered the problem of dilation invariance, with natural applications to optimizing functions for dilation-invariant functional inequalities such as the Sobolev inequality.
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Pierre-Louis Lions was able to apply his methods to give a new perspective on previous works on geometric problems such as the Yamabe problem and harmonic maps.
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In 1988, Francois Golse, Pierre-Louis Lions, Benoit Perthame, and Remi Sentis studied the transport equation, which is a first-order linear partial differential equation.
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DiPerna and Pierre-Louis Lions were able to prove the global existence of solutions to the Boltzmann equation.
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Later, by applying the methods of Fourier integral operators, Pierre-Louis Lions established estimates for the Boltzmann collision operator, thereby finding compactness results for solutions of the Boltzmann equation.
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Crandall and Pierre-Louis Lions investigated the numerical analysis of their viscosity solutions, proving convergence results both for a finite difference scheme and artificial viscosity.