, Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations, Memoirs of the American Mathematical Society, vol.204, issue.960, p.77, 2010.
DOI : 10.1090/S0065-9266-09-00588-2
, Ergodic problem for the Hamilton-Jacobi-Bellman equation. I. Existence of the ergodic attractor Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, pp.415-438, 1997.
, Ergodic problem for the Hamilton-Jacobi-Bellman equation. II. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, pp.1-24, 1998.
, On ergodic stochastic control, Communications in Partial Differential Equations, vol.318, issue.11-12, pp.333-358, 1998.
DOI : 10.1137/0319020
, Optimal control and viscosity solutions of Hamilton- Jacobi-Bellman equations. Systems & Control: Foundations & Applications, With appendices by Maurizio Falcone and Pierpaolo Soravia, 1997.
, Some homogenization results for non-coercive Hamilton???Jacobi equations, Calculus of Variations and Partial Differential Equations, vol.20, issue.1, pp.449-466, 2007.
DOI : 10.1007/s00526-007-0097-6
URL : https://hal.archives-ouvertes.fr/hal-00071284
, Wavefront propagation for reaction-diffusion systems of PDE. Duke Math, J, vol.61, issue.3, pp.835-858, 1990.
, Ergodic Type Problems and Large Time Behaviour of Unbounded Solutions of Hamilton???Jacobi Equations, Communications in Partial Differential Equations, vol.128, issue.8, pp.31-38, 2006.
DOI : 10.1016/S0021-7824(00)01183-1
URL : https://hal.archives-ouvertes.fr/hal-00121921
, On the Large Time Behavior of Solutions of Hamilton--Jacobi Equations, SIAM Journal on Mathematical Analysis, vol.31, issue.4, pp.925-939, 2000.
DOI : 10.1137/S0036141099350869
URL : https://hal.archives-ouvertes.fr/hal-00623000
, Self-similarity in a general aggregationfragmentation problem; application to fitness analysis, J. Math. Pures Appl
URL : https://hal.archives-ouvertes.fr/hal-00539279
, Size distribution dependence of prion aggregates infectivity, Mathematical Biosciences, vol.217, issue.1, pp.88-99, 2009.
DOI : 10.1016/j.mbs.2008.10.007
URL : https://hal.archives-ouvertes.fr/hal-00789017
, Hamilton-Jacobi equations with state constraints, Transactions of the American Mathematical Society, vol.318, issue.2, pp.643-683, 1990.
DOI : 10.1090/S0002-9947-1990-0951880-0
, Ergodicity of Hamilton???Jacobi equations with a noncoercive nonconvex Hamiltonian in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.27, issue.3, pp.837-856, 2010.
DOI : 10.1016/j.anihpc.2009.11.015
, Optimization of an amplification protocol for misfolded proteins by using relaxed control, Journal of Mathematical Biology, vol.411, issue.4542
DOI : 10.1007/s00285-014-0768-9
URL : https://hal.archives-ouvertes.fr/hal-00860218
, Eigenelements of a general aggregation-fragmentation model, Math. Models Methods Appl. Sci, vol.20, issue.5, pp.757-783, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00408088
, Effective hamiltonians and averaging for hamiltonian dynamics I. Archive for Rational Mechanics and Analysis, pp.1-33, 2001.
DOI : 10.1007/pl00004236
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.7098
, Th??or??me KAM faible et th??orie de Mather sur les syst??mes lagrangiens, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.324, issue.9, pp.1043-1046, 1997.
DOI : 10.1016/S0764-4442(97)87883-4
, The Weak KAM Theorem in Lagrangian Dynamics, Cambridge Studies in Advanced Mathematics
, ´ Equations de Transport-Fragmentation et Applications aux MaladiesàMaladiesà Prions [Transport-Fragmentation Equations and Applications to Prion Diseases, 2011.
, A mathematical analysis of the dynamics of prion proliferation, Journal of Theoretical Biology, vol.242, issue.3, pp.598-606, 2006.
DOI : 10.1016/j.jtbi.2006.04.010
, Homogenization of First-Order Equations with $$(u/\varepsilon)$$ -Periodic Hamiltonians. Part I: Local Equations, Archive for Rational Mechanics and Analysis, vol.57, issue.5, pp.49-89, 2008.
DOI : 10.1007/s00205-007-0074-4
, Homogenization of Hamilton-Jacobi equations. Unpublished work, 1988.
URL : https://hal.archives-ouvertes.fr/hal-00667310
, Quantifying the kinetic parameters of prion replication, Biophysical Chemistry, vol.77, issue.2-3, pp.139-152, 1999.
DOI : 10.1016/S0301-4622(99)00016-2
, Optimal Proliferation Rate in a Cell Division Model, Mathematical Modelling of Natural Phenomena, vol.1, issue.2, pp.23-44, 2006.
DOI : 10.1051/mmnp:2008002
, Remarks on the long time behaviour of the solutions of hamilton-jacobi equations, Communications in Partial Differential Equations, vol.12, issue.5-6, pp.5-6883, 1999.
DOI : 10.1007/s000300050029
, Cyclic amplification of protein misfolding: application to prion-related disorders and beyond, Trends in Neurosciences, vol.25, issue.8, pp.390-394, 2002.
DOI : 10.1016/S0166-2236(02)02195-1