Amal Attouchi

most citedGradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations

11 citations · 11 across the 2 of their papers we have counts for

collaborators

4 papers

math.AP2019

Gradient regularity for a singular parabolic equation in non-divergence form

Amal Attouchi, Eero Ruosteenoja

In this paper we consider viscosity solutions of a class of non-homogeneous singular parabolic equations $\partial_{t} u - ∣ D u ∣^{γ} Δ_{p}^{N} u = f,$ where $- 1 < γ < 0$ , $1 < p < \infty$ , and $f$ is…

math.AP2019★ 11 cited

Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations

Amal Attouchi, Philippe Souplet

Consider the diffusive Hamilton-Jacobi equation $u_{t} - Δ u = ∣\nabla u ∣^{p} + h (x) in Ω \times (0, T)$ with Dirichlet conditions, which arises in stochastic control problems as w…

math.AP2019

Gradient and Lipschitz estimates for tug-of-war type games

Amal Attouchi, Hannes Luiro, Mikko Parviainen

We define a random step size tug-of-war game, and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are unifo…

math.AP2018

Local regularity for quasi-linear parabolic equations in non-divergence form

Amal Attouchi

We consider viscosity solutions to non-homogeneous degenerate and singular parabolic equations of the $p$ -Laplacian type and in non-divergence form. We provide local Hölder and Lip…