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- Jean-Pierre Aubin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
20,542
214
World Ranking
2648
National Ranking
165

- Mathematical analysis
- Artificial intelligence
- Statistics

His primary areas of investigation include Mathematical analysis, Applied mathematics, Nonlinear system, Differential inclusion and Viability theory. Jean-Pierre Aubin has included themes like Convex analysis and Discontinuous Galerkin method in his Mathematical analysis study. His Applied mathematics research is multidisciplinary, incorporating perspectives in Calculus of variations, Lipschitz continuity and Initial value problem.

His Nonlinear system research includes themes of Mathematical optimization, Contingent derivatives and Quasivariational inequality. His studies deal with areas such as Lyapunov stability, Hybrid system, Control theory, Invariant and Impulse as well as Differential inclusion. His Viability theory study integrates concerns from other disciplines, such as Inflation, Inequality and Biochemical engineering.

- Applied Nonlinear Analysis (1917 citations)
- Viability theory (1243 citations)
- Differential Inclusions: Set-Valued Maps and Viability Theory (826 citations)

His scientific interests lie mostly in Differential inclusion, Mathematical analysis, Applied mathematics, Mathematical optimization and Mathematical economics. His Differential inclusion study combines topics from a wide range of disciplines, such as Control system, Control theory, Pure mathematics, State and Impulse. His study in Discrete mathematics extends to Pure mathematics with its themes.

His study in Boundary value problem, Stochastic partial differential equation, Differential equation and Stochastic differential equation are all subfields of Mathematical analysis. His Applied mathematics study frequently draws connections to other fields, such as Nonlinear system. His Mathematical optimization research is mostly focused on the topic Viability theory.

- Differential inclusion (25.00%)
- Mathematical analysis (17.16%)
- Applied mathematics (14.93%)

- Differential inclusion (25.00%)
- Applied mathematics (14.93%)
- Viability theory (11.19%)

Differential inclusion, Applied mathematics, Viability theory, Mathematical analysis and Portfolio are his primary areas of study. His Differential inclusion study also includes fields such as

- Pure mathematics and related Hamiltonian,
- Calculus which is related to area like Tensor product and Tensor. His research integrates issues of Cournot competition, Series and Optimal control in his study of Applied mathematics.

As part of his studies on Viability theory, Jean-Pierre Aubin often connects relevant subjects like Financial market. His Mathematical analysis study is mostly concerned with Partial derivative and Hilbert space. In his study, which falls under the umbrella issue of Portfolio, Asset and Portfolio insurance is strongly linked to Actuarial science.

- Viability Theory : New Directions (179 citations)
- Viabilist and tychastic approaches to guaranteed ALM problem (12 citations)
- Viability Solutions to Structured Hamilton-Jacobi Equations under Constraints (12 citations)

- Mathematical analysis
- Artificial intelligence
- Statistics

Jean-Pierre Aubin mainly focuses on Differential inclusion, Viability theory, Hamilton–Jacobi equation, Applied mathematics and Actuarial science. The Differential inclusion study combines topics in areas such as Mathematical theory, Theoretical computer science, Pure mathematics, Function and Calculus. The study incorporates disciplines such as Financial market, Robotics and Management science in addition to Viability theory.

His study with Hamilton–Jacobi equation involves better knowledge in Mathematical analysis. His work deals with themes such as Parametrization and Boundary value problem, which intersect with Applied mathematics. His study in Partial differential equation is interdisciplinary in nature, drawing from both Valuation function, Variational principle and Mathematical optimization.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Differential Inclusions: Set-Valued Maps and Viability Theory

Jean Pierre Aubin;A. Cellina.

**(1984)**

5725 Citations

Applied Nonlinear Analysis

Jean Pierre Aubin;Ivar Ekeland.

**(1984)**

3499 Citations

Viability Theory : New Directions

Jean-Pierre Aubin;Alexandre Bayen;Patrick Saint-Pierre.

**(2011)**

2798 Citations

Mathematical methods of game and economic theory

Jean Pierre Aubin.

**(1979)**

1474 Citations

Optima and Equilibria: An Introduction to Nonlinear Analysis

Jean Pierre Aubin.

**(1993)**

927 Citations

Approximation of Elliptic Boundary-Value Problems

Jean Pierre Aubin.

**(1972)**

745 Citations

Lipschitz Behavior of Solutions to Convex Minimization Problems

Jean-Pierre Aubin.

Mathematics of Operations Research **(1984)**

493 Citations

Cooperative Fuzzy Games

Jean-Pierre Aubin.

Mathematics of Operations Research **(1981)**

481 Citations

Optima and Equilibria

Jean-Pierre Aubin.

**(1993)**

454 Citations

Contingent Derivatives of Set-Valued Maps and Existence of Solutions to Nonlinear Inclusions and Differential Inclusions.

Jean Pierre Aubin.

**(1980)**

375 Citations

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