Patrick Saint-Pierre

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All published works

Action	Title	Year	Authors
+	Appendix: Proofs	2012	Pierre Bernhard Jacob Engwerda Berend Roorda Johannes Schumacher Vassili N. Kolokoltsov Patrick Saint-Pierre Jean‐Pierre Aubin
+	Local and Asymptotic Properties of Equilibria	2011	Jean‐Pierre Aubin Alexandre M. Bayen Patrick Saint-Pierre
+	Convergence and Viability Theorems	2011	Jean‐Pierre Aubin Alexandre M. Bayen Patrick Saint-Pierre
+ PDF Chat	Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints	2009	Jean‐Pierre Aubin Alexandre M. Bayen Patrick Saint-Pierre
+	Viability Kernels and Capture Basins for Analyzing the Dynamic Behavior: Lorenz Attractors, Julia Sets, and Hutchinson’s Maps	2008	Jean‐Pierre Aubin Patrick Saint-Pierre
+ PDF Chat	Dirichlet Problems for some Hamilton–Jacobi Equations with Inequality Constraints	2008	Jean‐Pierre Aubin Alexandre M. Bayen Patrick Saint-Pierre
+	Pursuit-Evasion Games with Impulsive Dynamics	2007	Eva Crück Marc Quincampoix Patrick Saint-Pierre
+	Differential Games Through Viability Theory: Old and Recent Results	2007	Pierre Cardaliaguet Marc Quincampoix Patrick Saint-Pierre
+	Dynamical Constrained Impulse System and application for designing discontinuous feedbacks	2007	Patrick Saint-Pierre
+ PDF Chat	GUARANTEED INERTIA FUNCTIONS IN DYNAMICAL GAMES	2006	Jean‐Pierre Aubin Patrick Saint-Pierre
+	Guaranteed Inertia Functions in Dynamical Games	2006	Jean‐Pierre Aubin Patrick Saint-Pierre
+	Nonlinear Impulse Target Problems under State Constraint: A Numerical Analysis Based on Viability Theory	2004	Eva Cr�ck Patrick Saint-Pierre
+	Fluctuation between Subsets of Evolutions Governed by Chaotic Systems	2004	Jean‐Pierre Aubin Patrick Saint-Pierre
+ PDF Chat	Evaluation of Crisis, Reversibility, Alert Management for Constrained Dynamical Systems Using Impulse Dynamical Systems	2003	Patrick Saint-Pierre
+	Minimal number of generations out of polymorphism in the one-locus two-allele model with unpredictable fertilities	2002	No x EB l Bonneuil Patrick Saint-Pierre
+	Hybrid Kernels and Capture Basins for Impulse Constrained Systems	2002	Patrick Saint-Pierre
+ PDF Chat	None	2000	Pierre Cardaliaguet Marc Quincampoix Patrick Saint-Pierre
+	None	1997	Luc Doyen Patrick Saint-Pierre
+ PDF Chat	Equilibria and Stability in Set-Valued Analysis: a Viability Approach	1996	Patrick Saint-Pierre
+	Newton and other continuation methods for multivalued inclusions	1995	Patrick Saint-Pierre
+	Numerical Approximation of the Value Function for Control Problems with State Constraints, a Viability Approach	1995	Patrick Saint-Pierre
+	Contribution à l'étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l'état	1995	Patrick Saint-Pierre Marc Quincampoix Pierre Cardaliaguet
+	Contribution à l'étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l'état	1995	Patrick Saint-Pierre Marc Quincampoix Pierre Cardaliaguet
+ PDF Chat	Approximation of the viability kernel	1994	Patrick Saint-Pierre
+	An Algorithm for Viability Kernels in Hoelderian Case: Approximation by Discrete Dynamical Systems	1993	Marc Quincampoix Patrick Saint-Pierre
+	Approximation of slow solutions to differential inclusions	1990	Patrick Saint-Pierre
+	Slow and Quasi-slow solutions of differential inclusions	1987	Maurizio Falcone Patrick Saint-Pierre
+	Sur la convergence num�rique de diff�rentes m�thodes de d�composition pour une classe de probl�mes elliptiques	1972	Patrick Saint-Pierre

Common Coauthors

Coauthor	Papers Together
Jean‐Pierre Aubin	9
Marc Quincampoix	6
Alexandre M. Bayen	4
Pierre Cardaliaguet	4
Luc Doyen	1
Berend Roorda	1
Jacob Engwerda	1
Eva Cr�ck	1
Pierre Bernhard	1
Johannes Schumacher	1
No x EB l Bonneuil	1
Eva Crück	1
Vassili N. Kolokoltsov	1
Maurizio Falcone	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Approximation of the viability kernel	1994	Patrick Saint-Pierre	14
+	Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations	1993	Hélène Frankowska	8
+	Hybrid Kernels and Capture Basins for Impulse Constrained Systems	2002	Patrick Saint-Pierre	5
+	Lower semicontinuous solutions to Hamilton-Jacobi-Bellman equations	2002	Hélène Frankowska	5
+	Viability Kernels and Capture Basins of Sets Under Differential Inclusions	2001	Jean‐Pierre Aubin	4
+	Nonlinear Impulse Target Problems under State Constraint: A Numerical Analysis Based on Viability Theory	2004	Eva Cr�ck Patrick Saint-Pierre	4
+	The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems	1996	Jean‐Pierre Aubin Hélène Frankowska	3
+	Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side	1967	Alexander Filippov	3
+ PDF Chat	Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation	1989	Halina Frankowska	3
+	Hamilton-Jacobi equations: Viscosity solutions and generalized gradients	1989	Hélène Frankowska	3
+	None	1997	Luc Doyen Patrick Saint-Pierre	3
+	Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians	1990	E. N. Barron R. Jensen	3
+ PDF Chat	Burgers′ equation with nonlinear boundary feedback: <i>H</i><sup>1</sup> stability, well‐posedness and simulation	2000	András Balogh Miroslav Krstić	2
+	Chaos and Fractals: The Mathematics Behind the Computer Graphics	1989	Robert L. Devaney Linda Keen	2
+ PDF Chat	Conjugate points and shocks in nonlinear optimal control	1996	Nathalie Caroff Hélène Frankowska	2
+	LORENZ ATTRACTORS WITH ARBITRARY EXPANDING DIMENSION	2000	Ch. Bonatti António Pumariño Marcelo Viana	2
+	Pursuit-Evasion Games with Impulsive Dynamics	2007	Eva Crück Marc Quincampoix Patrick Saint-Pierre	2
+	First order quasilinear equations with boundary conditions	1979	Claude Bardos Alain Leroux Jean-Claude Nédélec	2
+	Invariant Solutions of Differential Games and Hamilton--Jacobi--Isaacs Equations for Time-Measurable Hamiltonians	2000	Pierre Cardaliaguet Sławomir Plaskacz	2
+ PDF Chat	A shooting approach to the Lorenz equations	1992	S. P. Hastings William C. Troy	2
+	Strong convergence results related to strict convexity	1984	Augusto Visintin	2
+ PDF Chat	Heavy viable trajectories of controlled systems	1985	Halina Frankowska Jean‐Pierre Aubin	2
+ PDF Chat	Deterministic Nonperiodic Flow	1963	Edward N. Lorenz	2
+	Optimal Control with State-Space Constraint I	1986	H. Meté Soner	2
+	Stochastic nagumo's viability theorem	1995	Jean‐Pierre Aubin Giuseppe Da Prato	2
+ PDF Chat	The Wazewski topological method for contingent equations	1970	J. Bebernes Jerry D. Schuur	2
+	Invariance of stochastic control systems with deterministic arguments	2004	Giuseppe Da Prato Hélène Frankowska	2
+ PDF Chat	Hopf formula and multitime Hamilton-Jacobi equations	1986	Pierre‐Louis Lions Jean Rochet	2
+	Guaranteed asymptotic stability for a class of uncertain linear dynamical systems	1979	G. Leitmann	2
+	Generalization of the main equation of differential game theory	1984	A. I. Subbotin	2
+	Monotone trajectories of differential inclusions and functional differential inclusions with memory	1981	Georges Haddad	2
+	Approximation of slow solutions to differential inclusions	1990	Patrick Saint-Pierre	2
+	Espaces topologiques : fonctions multivoques	1966	Claude Berge	2
+	Distributed and boundarycontrol of the viscous burgers' equation	1997	Hung V. Ly Kenneth D. Mease Edriss S. Titi	2
+	Solutions de viscosité des équations de Hamilton-Jacobi	1994	Guy Barles	2
+	Slow and Quasi-slow solutions of differential inclusions	1987	Maurizio Falcone Patrick Saint-Pierre	2
+	Hopf–Lax-Type Formula forut+H(u, Du)=0	1996	E. N. Barron R. Jensen W. Liu	2
+	On Hopf's formulas for solutions of Hamilton-Jacobi equations	1984	Martino Bardi L. C. Evans	2
+ PDF Chat	ANALYSIS AND DESIGN OF NUMERICAL SCHEMES FOR GAS DYNAMICS, 1: ARTIFICIAL DIFFUSION, UPWIND BIASING, LIMITERS AND THEIR EFFECT ON ACCURACY AND MULTIGRID CONVERGENCE	1995	A. Jameson	2
+ PDF Chat	Structural stability of Lorenz attractors	1979	John Guckenheimer R. F. Williams	2
+ PDF Chat	Some properties of viscosity solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall L. C. Evans Pierre‐Louis Lions	2
+	None	2002	Jean‐Pierre Aubin Francine Catté	2
+ PDF Chat	Motion Planning for a nonlinear Stefan Problem	2003	William B. Dunbar Nicolas Petit Pierre Rouchon Philippe Martin	2
+	A note on the Jeffrey-Kirwan-Witten localisation formula	1996	Michèle Vergne	1
+	Derivation and solutions of some fractional Black–Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio	2009	Guy Jumarie	1
+	Characterization of Stochastic Viability of Any Nonsmooth Set Involving Its Generalized Contingent Curvature	2003	Jean‐Pierre Aubin Halim Doss	1
+ PDF Chat	On the Support of Diffusion Processes with Applications to the Strong Maximum Principle	1972	Daniel W. Stroock S. R. S. Varadhan	1
+	Convex analysis and minimization algorithms	1993	Jean‐Baptiste Hiriart‐Urruty Claude Lemaréchal	1
+	None	2002	Martino Bardi Robert Jensen	1
+ PDF Chat	Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions	1997	Jean‐Pierre Aubin Halina Frankowska	1