Porretta, Alessio

1. Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games
   2015/04/22 by Yves Achdou, Achdou, Yves, Alessio Porretta +1 · 4 citations
   Economics, Econometrics and Finance · Mathematics · #Economic theories and models #FOS: Mathematics #Numerical Analysis (math.NA) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
2. Splitting methods and short time existence for the master equations in mean field games
   2020/01/28 by Cardaliaguet, Pierre, Cirant, Marco, Porretta, Alessio · 4 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Remarks on Nash equilibria in mean field game models with a major player
   2018/11/07 by Cardaliaguet, Pierre, Cirant, Marco, Porretta, Alessio · 3 citations
   #FOS: Mathematics #Optimization and Control (math.OC)
4. Global Lipschitz regularizing effects for linear and nonlinear parabolic equations
   2011/11/07 by Enrico Priola, Alessio Porretta, Priola, Enrico +1 · 2 citations
   Mathematics · #35B65 #35K10 #35K55 #60H30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
5. Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation
   2018/11/05 by Porretta, Alessio, Souplet, Philippe · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
6. Second order mean field games with degenerate diffusion and local coupling
   2014/07/25 by Cardaliaguet, Pierre, Graber, J., Porretta, Alessio +1 · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
7. Mean field games under invariance conditions for the state space
   2019/03/15 by Porretta, Alessio, Ricciardi, Michele · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics
8. The profile of boundary gradient blow-up for the diffusive Hamilton-Jacobi equation
   2015/08/27 by Porretta, Alessio, Souplet, Philippe · 1 citation
   #35B44 #35K60 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Ergodic Problems for Second-Order Mean Field Games with State Constraints
   2023/10/04 by Porretta, Alessio, Ricciardi, Michele · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics
10. Regularizing effects of the entropy functional in optimal transport and planning problems
    2022/03/09 by Alessio Porretta, Porretta, Alessio · 1 citation
    Decision Sciences · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Optimization and Control (math.OC) #Risk and Portfolio Optimization
11. Decay rates of convergence for Fokker-Planck equations with confining drift
    2022/10/20 by Alessio Porretta, Porretta, Alessio · 1 citation
    Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Biology Tumor Growth #Probability (math.PR) #Stochastic processes and financial applications
12. Long time behaviour of Mean Field Games with fractional diffusion
    2025/05/09 by Olav Ersland, Espen R. Jakobsen, Ersland, Olav +3 · 2 citations
    Economics, Econometrics and Finance · Mathematics · #Stochastic processes and financial applications #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations