70 citations · 169 across the 27 of their papers we have counts for
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math.AP2015
The profile of boundary gradient blow-up for the diffusive Hamilton-Jacobi equation
Alessio Porretta, Philippe Souplet
We consider the diffusive Hamilton-Jacobi equation with Dirichlet boundary conditions in two space dimensions, which arises in the KPZ model of growing int…
math.AP2015
On the notion of renormalized solution to nonlinear parabolic equations with general measure data
Francesco Petitta, Alessio Porretta
Here we introduce a new notion of renormalized solution to nonlinear parabolic problems with general measure data whose model is $$ \begin{cases} u_t-Δ_{p} u =μ& \text{in}\ (0,T)\t…
math.NA2015★ 1 cited
Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games
Yves Achdou, Alessio Porretta
Mean field type models describing the limiting behavior of stochastic differential games as the number of players tends to +, have been recently introduced by J-M. Lasry an…