Olivier Ley

发表

NONLOCAL HAMILTON-JACOBI EQUATIONS RELATED TO DISLOCATION DYNAMICS AND A FITZHUGH-NAGUMO SYSTEM (Viscosity Solutions of Differential Equations and Related Topics)

Olivier Ley, 2008 .

Weak Solutions for Dislocation Type Equations

Olivier Ley, 2007, 0802.0931.

Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behavior

G. Barles, E. Topp, Olivier Ley, 2016, 1602.07806.

Nonlocal First-Order Hamilton–Jacobi Equations Modelling Dislocations Dynamics

G. Barles, Olivier Ley, 2006, math/0603570.

Some results for the large time behavior of Hamilton-Jacobi equations with Caputo time derivative

E. Topp, Miguel Yangari, Olivier Ley, 2019, Discrete & Continuous Dynamical Systems.

Large time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations

F. Camilli, P. Loreti, V. Nguyen, 2012, Nonlinear Differential Equations and Applications NoDEA.

Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity

J. Bolte, A. Daniilidis, O. Ley, 2009 .

On the energy of a flow arising in shape optimization

Pierre Cardaliaguet, Olivier Ley, P. Cardaliaguet, 2006, math/0607255.

Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems

O. Ley, V. Nguyen, Olivier Ley, 2014, 1407.3116.

Large time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations

F. Camilli, P. Loreti, V. Nguyen, 2011, 1104.5658.

Nonfattening condition for the generalized evolution by mean curvature and applications

P. Cardaliaguet, Samuel Biton, Olivier Ley, 2008 .

Uniqueness without Growth Condition for the Mean Curvature Equation with Radial Initial Data

E. Chasseigne, Samuel Biton, Olivier Ley, 2003 .

HOMOGENIZATION OF MONOTONE SYSTEMS OF HAMILTON-JACOBI EQUATIONS

F. Camilli, P. Loreti, Olivier Ley, 2008, 0802.0932.

Finite horizon mean field games on networks

Yves Achdou, Nicoletta Tchou, Manh-Khang Dao, 2019, Calculus of Variations and Partial Differential Equations.

A class of infinite horizon mean field games on networks

Yves Achdou, Nicoletta Tchou, Manh-Khang Dao, 2018, Networks Heterog. Media.

A counter-example to the characterization of the discontinuous value function of control problems with reflection

Olivier Ley, 2002 .

Geometric flows and Bernoulli problem

Olivier Ley, 2004 .

A priori Lipschitz estimates for solutions of local and nonlocal Hamilton–Jacobi equations with Ornstein–Uhlenbeck operator

O. Ley, E. Chasseigne, Thi-Tuyen Nguyen, 2017, Revista Matemática Iberoamericana.

Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians

Guy Barles, Olivier Ley, Shigeaki Koike, 2014, Calculus of Variations and Partial Differential Equations.

Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods

G. Barles, O. Ley, Samuel Biton, 2003 .

Uniqueness for parabolic equations without growth condition and applications to the mean curvature flow in R2

G. Barles, O. Ley, Samuel Biton, 2003 .

Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in R N

G. Barles, Thi-Tuyen Nguyen, T. Phan, 2017, Asymptot. Anal..

Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in the whole space

G. Barles, Thi-Tuyen Nguyen, T. Phan, 2017, 1709.08387.

Large time behavior for some nonlinear degenerate parabolic equations

V. Nguyen, Olivier Ley, 2013, 1306.0748.

Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms

Shigeaki Koike, Olivier Ley, 2010, 1010.0105.

Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions

A. Daniilidis, O. Ley, S. Sabourau, 2008, 0809.0150.

Uniqueness Results for Second-Order Bellman--Isaacs Equations under Quadratic Growth Assumptions and Applications

Francesca Da Lio, Olivier Ley, Olivier Ley, 2010, SIAM J. Control. Optim..

Motion by mean curvature and level-set approach

O. Ley, Olivier Ley, 2022 .

Calculus of Variations Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians

G. Barles, Olivier Ley, Shigeaki Koike, 2014 .

Convex Hamilton-Jacobi Equations Under Superlinear Growth Conditions on Data

O. Ley, F. D. Lio, Olivier Ley, 2011 .

Uniqueness results for convex Hamilton-Jacobi equations under $p>1$ growth conditions on data

O. Ley, F. D. Lio, Olivier Ley, 2008, 0810.1435.

UNIQUENESS RESULTS FOR NONLOCAL HAMILTON-JACOBI EQUATIONS

G. Barles, P. Cardaliaguet, Aurélien Monteillet, 2008, 0803.2480.

Characterizations of Lojasiewicz inequalities and applications

J. Bolte, A. Daniilidis, O. Ley, 2008, 0802.0826.

A convex function satisfying the Lojasiewicz inequality but failing the gradient conjecture both at zero and infinity

Mounir Haddou, Aris Daniilidis, Olivier Ley, 2021, 2102.05342.

Global Existence Results and Uniqueness for Dislocation Equations

G. Barles, P. Cardaliaguet, R. Monneau, 2007, SIAM Journal on Mathematical Analysis.

GENERAL RESULTS FOR DISLOCATION TYPE EQUATIONS

G. Barles, P. Cardaliaguet, R. Monneau, 2007 .

Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations

Guy Barles, Hiroyoshi Mitake, Olivier Ley, 2010, Mathematische Annalen.

Viscosity solutions for a polymer crystal growth model

O. Ley, P. Cardaliaguet, Aurélien Monteillet, 2010, 1003.1059.

Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations

Guy Barles, Pierre Cardaliaguet, Olivier Ley, 2008, 0806.1890.

EXISTENCE OF VISCOSITY SOLUTIONS FOR A NONLOCAL EQUATION MODELLING POLYMER CRYSTAL GROWTH

O. Ley, Irmar, Olivier Ley, 2010 .

Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts

Olivier Ley, Olivier Ley, 2001, Advances in Differential Equations.