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On the energy of a flow arising in shape optimization

Pierre Cardaliaguet , Olivier Ley
Interfaces Free Bound., 2008, 10 (2), pp.223-243
Article dans une revue hal-00084972v1
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Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems

Olivier Ley , Vinh Duc Nguyen
Nonlinear Analysis: Theory, Methods and Applications, 2016, 130, pp.76-101. ⟨10.1016/j.na.2015.09.012⟩
Article dans une revue hal-01022962v2
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Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity

Jerome Bolte , Aris Daniilidis , Olivier Ley , Laurent Mazet
Transactions of the American Mathematical Society, 2010, 362 (6), pp.3319-3363. ⟨10.1090/S0002-9947-09-05048-X⟩
Article dans une revue hal-00243094v1
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A convex function satisfying the Lojasiewicz inequality but failing the gradient conjecture both at zero and infinity

Aris Daniilidis , Mounir Haddou , Olivier Ley
Bulletin of the London Mathematical Society, 2022, ⟨10.1112/blms.12586⟩
Article dans une revue hal-03136550v2
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Nonlocal Hamilton-Jacobi equations related to dislocation dynamics and a FitzHugh-Nagumo system

Olivier Ley
Viscosity solutions of differential equations and related topics, Jun 2008, Kyoto, Japan. pp.161-178
Communication dans un congrès hal-00458216v1
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Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in $\mathbb{R}^N$

Guy Barles , Olivier Ley , Thi-Tuyen Nguyen , Thanh Viet Phan
Asymptotic Analysis, 2019, 112 (1-2), pp.1-22. ⟨10.3233/ASY-181488⟩
Article dans une revue hal-01592608v2
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{Lipschitz regularity for integro-differential equations with coercive {H}amiltonians and application to large time behavior}

Guy Barles , Olivier Ley , Erwin Topp
Nonlinearity, 2017, 30 (2), pp.703-734. ⟨10.1088/1361-6544/aa527f⟩
Article dans une revue hal-01278603v1
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Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians

Guy Barles , Shigeaki Koike , Olivier Ley , Erwin Topp
Calculus of Variations and Partial Differential Equations, 2015, 54 (1), pp.535-572. ⟨10.1007/s00526-014-0794-x⟩
Article dans une revue hal-00980228v1
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Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations

Fabio Camilli , Olivier Ley , Paola Loreti , Vinh Duc Nguyen
Nonlinear Differential Equations and Applications, 2012, 19 (6), pp.719-749. ⟨10.1007/s00030-011-0149-7⟩
Article dans une revue hal-00589387v1
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Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions

Aris Daniilidis , Olivier Ley , Stéphane Sabourau
Journal de Mathématiques Pures et Appliquées, 2010, 94 (2), pp.183-199. ⟨10.1016/j.matpur.2010.03.007⟩
Article dans une revue hal-00315675v1

Nonfattening condition for the generalized evolution by mean curvature and applications.

Samuel Biton , Pierre Cardaliaguet , Olivier Ley
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2008, 10 (1), pp.1-14
Article dans une revue hal-00701207v1
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A Class of Infinite Horizon Mean Field Games on Networks

Yves Achdou , Manh-Khang Dao , Olivier Ley , Nicoletta Tchou
Networks and Heterogeneous Media, 2019, 14 (3), pp.537-566. ⟨10.3934/nhm.2019021⟩
Article dans une revue hal-01802120v1
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SOME RESULTS FOR THE LARGE TIME BEHAVIOR OF HAMILTON-JACOBI EQUATIONS WITH CAPUTO TIME DERIVATIVE

Olivier Ley , Erwin Topp , Miguel Yangari
Discrete and Continuous Dynamical Systems - Series A, 2021, 41 (8), pp.3555-3577. ⟨10.3934/dcds.2021007⟩
Article dans une revue hal-02167760v1
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Uniqueness Results for Second Order Bellman-Isaacs Equations under Quadratic Growth Assumptions and Applications

Francesca da Lio , Olivier Ley
SIAM Journal on Control and Optimization, 2006, 45 (1), pp.74-106. ⟨10.1137/S0363012904440897⟩
Article dans une revue hal-00455993v1
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Some flows in shape optimization

Pierre Cardaliaguet , Olivier Ley
Archive for Rational Mechanics and Analysis, 2007, 183 (1), pp.21-58. ⟨10.1007/s00205-006-0002-z⟩
Article dans une revue hal-00456121v1
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Homogenization of monotone systems of Hamilton-Jacobi equations

Fabio Camilli , Olivier Ley , Paola Loreti
ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16, pp.58-76. ⟨10.1051/cocv:2008061⟩
Article dans une revue hal-00243980v1
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NONLOCAL FIRST-ORDER HAMILTON-JACOBI EQUATIONS MODELLING DISLOCATIONS DYNAMICS

Guy Barles , Olivier Ley
Comm. Partial Differential Equations, 2006, 31 (7-9), pp.1191-1208. ⟨10.1080/03605300500361446⟩
Article dans une revue hal-00021694v1
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Approximation and perturbations of stable solutions to a stationary mean field game system

Jules Berry , Olivier Ley , Francisco J Silva
2024
Pré-publication, Document de travail hal-04475153v3
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A Priori Lipschitz Estimates for Solutions of Local and Nonlocal Hamilton-Jacobi Equations with Ornstein-Uhlenbeck Operator

Emmanuel Chasseigne , Olivier Ley , Thi-Tuyen Nguyen
Revista Matemática Iberoamericana, 2019, 35 (5), pp.1415-1449. ⟨10.4171/RMI/1093⟩
Article dans une revue hal-01515409v1
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Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations

Guy Barles , Pierre Cardaliaguet , Olivier Ley , Aurélien Monteillet
Nonlinear Analysis: Theory, Methods and Applications, 2009, 71 (7-8), pp.2801-2810. ⟨10.1016/j.na.2009.01.156⟩
Article dans une revue hal-00287372v1

Convex Hamilton-Jacobi Equations Under Superlinear Growth Conditions on Data

Francesca da Lio , Olivier Ley
Applied Mathematics and Optimization, 2011, 63 (3), pp.309-339
Article dans une revue hal-00584390v1
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Viscosity solutions for a polymer crystal growth model

Pierre Cardaliaguet , Olivier Ley , Aurélien Monteillet
Indiana University Mathematics Journal, 2011, 60 (3), pp.895-936
Article dans une revue hal-00461361v1
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WEAK SOLUTIONS FOR DISLOCATION TYPE EQUATIONS

Olivier Ley
International Conference for the 25th Anniversary of Viscosity Solutions, Jun 2007, Tokyo, Japan. pp.117-132
Communication dans un congrès hal-00243982v1
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Lipschitz regularity results for nonlinear strictly elliptic equations and applications

Olivier Ley , Vinh Duc Nguyen
Journal of Differential Equations, 2017, 263 (7), pp.4324-4354. ⟨10.1016/j.jde.2017.05.020⟩
Article dans une revue hal-01344438v1
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Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations

Guy Barles , Olivier Ley , Hiroyoshi Mitake
Mathematische Annalen, 2012, 352 (2), pp.409-451. ⟨10.1007/s00208-011-0648-1⟩
Article dans une revue hal-00486802v1
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Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms

Shigeaki Koike , Olivier Ley
Journal of Mathematical Analysis and Applications, 2011, 381 (1), pp.110-120. ⟨10.1016/j.jmaa.2011.03.009⟩
Article dans une revue hal-00522569v1
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Uniqueness results for convex Hamilton-Jacobi equations under $p>1$ growth conditions on data

Francesca da Lio , Olivier Ley
2008
Pré-publication, Document de travail hal-00327496v1
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Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term

Giulio Galise , Shigeaki Koike , Olivier Ley , Antonio Vitolo
Journal of Mathematical Analysis and Applications, 2016, 441 (1), pp.194-210. ⟨10.1016/j.jmaa.2016.03.083⟩
Article dans une revue hal-01166915v1
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GLOBAL EXISTENCE RESULTS AND UNIQUENESS FOR DISLOCATION EQUATIONS

Guy Barles , Pierre Cardaliaguet , Olivier Ley , Regis Monneau
SIAM Journal on Mathematical Analysis, 2008, 40 (1), pp.44-69. ⟨10.1137/070682083⟩
Article dans une revue hal-00129352v2
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Evolution de fronts avec vitesse non-locale et équations de Hamilton-Jacobi

Olivier Ley
Mathématiques [math]. Université François Rabelais - Tours, 2008
HDR tel-00362409v1