tonon@ceremade.dauphine.fr
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Titulaire d'une thèse en Analyse Fonctionelle à la SISSA (Trieste, Italy) soutenue en 2011 et d'une HDR à Paris-Dauphine en 2017. Elle à obtenu une bourse de postdoctorat au centre ICERM Brown University (Province, RI) et une bourse de postdoctorat Marie Curie à l'Université UPMC (Paris), dans le cadre du projet SADCO. Depuis Septembre 2013 elle est Maître de conferences à l'Université Paris Dauphine et elle travaille dans le laboratoire CEREMADE. Ses recherches portent sur les jeux à champ moyen, le contrôle non linéaire, la théorie cinétique et les équations aux Dérivées Partielles.
Graber P., Mészáros A., Silva F., Tonon D. (2019), The planning problem in mean field games as regularizedmass transport, Calculus of Variations and Partial Differential Equations, vol. 58, n°3
Cirant M., Tonon D. (2019), Time-dependent focusing Mean-Field Games: the sub-critical case, Journal of Dynamics and Differential Equations, vol. 31, n°1, p. 49-79
Guo Y., Kim C., Tonon D., Trescases A. (2017), Regularity of the Boltzmann equation in convex domains, Inventiones Mathematicae, vol. 207, n°1, p. 115-290
Guo Y., Kim C., Tonon D., Trescases A. (2016), BV-Regularity of the Boltzmann Equation in Non-Convex Domains, Archive for Rational Mechanics and Analysis, vol. 220, n°3, p. 1045-1093
Cardaliaguet P., Graber P., Porretta A., Tonon D. (2015), Second order mean field games with degenerate diffusion and local coupling, NoDEA. Nonlinear Differential Equations and Applications, vol. 22, n°5, p. 1287-1317
Cardaliaguet P., Poretta A., Tonon D. (2015), Sobolev regularity for the first order Hamilton–Jacobi equation, Calculus of Variations and Partial Differential Equations, vol. 54, n°3, p. 3037-3065
Tonon D., Hoehene D., Frankowska H. (2013), A SECOND-ORDER MAXIMUM PRINCIPLE IN OPTIMAL CONTROL UNDER STATE CONSTRAINTS, Serdica Mathematical Journal, vol. 39, n°3-4, p. 233–270
Frankowska H., Tonon D. (2013), Inward pointing trajectories, normality of the maximum principle and the non occurrence of the Lavrentieff phenomenon in optimal control under state constraints, Journal of Convex Analysis, vol. 20, n°4, p. 1147--1180
Frankowska H., Tonon D. (2013), Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints, SIAM Journal on Control and Optimization, vol. 51, n°5, p. 3814-3843
Bianchini S., Tonon D. (2012), SBV-like regularity for Hamilton-Jacobi equations with a convex Hamiltonian, Journal of Mathematical Analysis and Applications, vol. 391, n°1, p. 190--208
Tonon D. (2012), Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and sticky particles, Rivista matematica della Università di Parma, vol. 3, n°1, p. 163--175
Bianchini S., Tonon D. (2012), SBV Regularity for Hamilton--Jacobi Equations with Hamiltonian Depending on (t, x), SIAM Journal on Mathematical Analysis, vol. 44, n°3, p. 2179-2203
Bianchini S., Tonon D. (2011), A decomposition theorem for BV functions, Communications on Pure and Applied Analysis, vol. 10, n°6, p. 1549-1566
Aronna M., Tonon D., Boccia A., Campos C., Mazzola M., Van Luong N. (2017), Optimality conditions (In Pontryagin form), in Daniela Tonon, Maria Soledad Aronna, Dante Kalise, Optimal Control: Novel Directions and Applications Springer, p. 1-125
Tonon D., Aronna M., Kalise D. (2017), Optimal Control: Novel Directions and Applications Lecture Notes in Mathematics
Frankowska H., Tonon D. (2013), The Goh necessary optimality conditions for the Mayer problem with control constraints, in , IEEE 52nd Annual Conference on Decision and Control (CDC), 2013 - Proceedings, Firenze, IEEE - Institute of Electrical and Electronics Engineers, 538-543 p.
Tonon D., Cardaliaguet P., Poretta A., Graber P. (2014), Degenerate second order mean field games systems, NETCO 2014 - New Trends on Optimal Control, Tours, France
Hérau F., Tonon D., Tristani I. (2019), Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 68 p.
Hérau F., Tonon D., Tristani I. (2018), Short time diffusion properties of inhomogeneous kinetic equations with fractional collision Kernel, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 33 p.
Hérau F., Tonon D., Tristani I. (2017), Cauchy theory and exponential stability for inhomogeneous boltzmann equation for hard potentials without cut-off, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 48 p.
Salvarani F., Tonon D. (2017), Kinetic description of strategic binary games, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 26 p.