Concepedia

Pierre‐Louis Lions

PL

108

Publications

21.9K

Citations

66

H-Index

1978

Active since

Affiliations

Université Paris Dauphine-PSL(Current)

Centre de Recherche en Mathématiques de la Décision

Université Paris Cité

Sorbonne Université

Collège de France

Pierre‐Louis Lions is an author at Université Paris Dauphine-PSL specializing in engineering, functional analysis, and physics.

Top concepts

EngineeringFunctional AnalysisPhysicsNatural SciencesStochastic CalculusNumerical AnalysisProbabilityFluid DynamicsMathematical ProgrammingApproximation Theory

Publications per year

1978–2020

108

Publications

108

Splitting Algorithms for the Sum of Two Nonlinear Operators

Pierre‐Louis Lions, Bertrand Mercier · SIAM Journal on Numerical Analysis · 1979 · 2K citations

Numerical Analysis, Linear Operator, Engineering +10

Image recovery via total variation minimization and related problems

Antonin Chambolle, Pierre‐Louis Lions · Numerische Mathematik · 1997 · 1.6K citations

Image Analysis, Engineering, Medical Imaging +7

The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1

Pierre‐Louis Lions · Revista Matemática Iberoamericana · 1985 · 1.3K citations · Full text

Dirichlet Form, Part 1, Engineering +11

On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability

Ronald J. DiPerna, Pierre‐Louis Lions · Annals of Mathematics · 1989 · 1.2K citations

Nonlinear Functional Analysis, Entropy, Global Existence +9

Some properties of viscosity solutions of Hamilton-Jacobi equations

Michael G. Crandall, L. C. Evans, Pierre‐Louis Lions · Transactions of the American Mathematical Society · 1984 · 1.2K citations

Viscosity Solution, Hamiltonian Theory, Geometric Partial Differential Equation +9

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