Amal Attouchi

activity

20122019

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

11 citations · 15 across the 10 of their papers we have counts for

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math.AP2014★ 1 cited

Gradient estimate and a Liouville theorem for a $p$ -Laplacian evolution equation with a gradient nonlinearity

Amal Attouchi

In this paper, we establish a local gradient estimate for a $p$ -Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville…

math.AP2014

Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$ -Laplacian diffusion

Amal Attouchi, Philippe Souplet

We study the initial-boundary value problem for the Hamilton-Jacobi equation with nonlinear diffusion $u_{t} = Δ_{p} u + ∣\nabla u ∣^{q}$ in a two-dimensional domain for $q > p > 2$ . It is known…

Gradient estimate and a Liouville theorem for a p-Laplacian evolution equation with a gradient nonlinearity

Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with p-Laplacian diffusion

Gradient estimate and a Liouville theorem for a $p$ -Laplacian evolution equation with a gradient nonlinearity

Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$ -Laplacian diffusion