Email: davini AT mat.uniroma1.it

Home-page: https://www1.mat.uniroma1.it/people/davini/home.html

arxiv id: davini_a_1

orcid id: 0000-0001-7641-7548

Available papers (32):

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• A. Davini (Submitted Paper)
  Stochastic homogenization of nondegenerate viscous HJ equations in 1d (2024)
• A. Davini (Accepted Paper: J. Convex Anal.)
  Stochastic homogenization of a class of quasiconvex and possibly degenerate viscous HJ equations in 1d (2024)
• A. Davini - I. Capuzzo Dolcetta (Comm. Partial Differential Equations)
  On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case (2023)
• A. Davini (preprint)
  Stochastic homogenization of quasiconvex degenerate viscous HJ equations in 1d (2023)
• A. Davini - E. Kosygina - A. Yilmaz (Submitted Paper)
  Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension (2023)
• A. Davini - J. L. P. Garmendia - R. Iturriaga - J. C. Pardo - H. Sanchez Morgado (Proceedings of the American Mathematical Society)
  Discrete approximation of stochastic Mather measures (2023)
• A. Davini - E. Kosygina (J. Differential Equations)
  Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension (2022)
• A. Davini - H. Ishii - R. Iturriaga - H. Sanchez Morgado (Stoch. Partial Differ. Equ. Anal. Comput.)
  Discrete approximation of the viscous HJ equation (2021)
• A. Davini - L. Wang (Discrete Contin. Dyn. Syst.)
  On the vanishing discount problem from the negative direction (2021)
• A. Davini - M. Zavidovique (Adv. Calc. Var.)
  Convergence of the solutions of discounted Hamilton--Jacobi systems (2021)
• A. Davini (Commun. Contemp. Math.)
  Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians (2019)
• A. Davini - A. Siconolfi - M. Zavidovique (J. Math. Pures Appl.)
  Random Lax-Oleinik semigroups for Hamilton-Jacobi systems (2018)
• A. Davini - E. Kosygina (Calc. Var. Partial Differential Equations)
  Homogenization of viscous and non-viscous HJ equations: a remark and an application (2017)
• A. Davini - A. Fathi - R. Iturriaga - M. Zavidovique (Invent. Math.)
  Convergence of the solutions of the discounted equation (2016)
• A. Davini - A. Siconolfi (Ann. Inst. H. Poincaré C Anal. Non Linéaire)
  Existence and regularity of strict critical subsolutions in the stationary ergodic setting (2016)
• A. Davini - A. Fathi - R. Iturriaga - M. Zavidovique (Math. Z.)
  Convergence of the solutions of the discounted equation: the discrete case (2016)
• A. Davini - M. Zavidovique (J. Differential Equations)
  On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations (2015)
• A. Davini - M. Zavidovique (SIAM J. Math. Anal.)
  Aubry sets for weakly coupled systems of Hamilton--Jacobi equations (2014)
• A. Davini - M. Zavidovique (Discrete Contin. Dyn. Syst. Ser.)
  Weak KAM theory for nonregular commuting Hamiltonians (2013)
• A. Davini - A. Siconolfi (Calc. Var. Partial Differential Equations)
  Weak KAM Theory topics in the stationary ergodic setting (2012)
• A. Davini - A. Siconolfi (Calc. Var. Partial Differential Equations)
  Metric techniques for convex stationary ergodic Hamiltonians (2011)
• A. Davini - A. Siconolfi (Math. Annalen)
  Exact and approximate correctors for stochastic Hamiltonians: the 1--dimensional case (2009)
• A. Davini (SIAM J. Control Optim.)
  Bolza Problems with discontinuous Lagrangians and Lipschitz--continuity of the value function (2007)
• A. Davini - M. Ponsiglione (J. Analyse Math.)
  Homogenization of two--phase metrics and applications (2006)
• A. Davini - A. Siconolfi (SIAM J. Math. Anal.)
  A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations (2006)
• A. Davini (Proc. Roy. Soc. Edinburgh Sect. A)
  Integral representation of abstract functionals of autonomous type (2006)
• A. Davini (Adv. Differential Equations)
  Smooth approximation of weak Finsler metrics (2005)
• A. Briani - A. Davini (ESAIM: Control Opt. Calc. Var.)
  Monge solutions for discontinuous Hamiltonians (2005)
• A. Davini (J. Convex Anal.)
  On the relaxation of a class of functionals defined on Riemannian distances (2005)
• A. Davini (Rend. Sem. Mat. Univ. Padova)
  On calibrations for Lawson's cones (2004)
• A. Davini (Ph.D. Thesis)
  Finsler metrics in Optimization Problems and Hamilton-Jacobi equations (2004)
• G. Buttazzo - A. Davini - I. Fragalà - F. Macià (J. Reine Angew. Math. (Crelles Journal))
  Optimal Riemannian distances preventing mass transfer (2004)

Speaker:

• 20 may 2024 - 22 may 2024: 50 Anni di Calcolo delle Variazioni
• 30 may 2016 - 3 jun 2016: HJ2016: Hamilton-Jacobi Equations: new trends and applications