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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…