Amal Attouchi

activity

20122016

most citedHölder regularity for the gradient of the inhomogeneous parabolic normalized

p

-Laplacian

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2016★ 1 cited

Hölder regularity for the gradient of the inhomogeneous parabolic normalized $p$ -Laplacian

Amal Attouchi, Mikko Parviainen

In this paper we study an evolution equation involving the normalized $p$ -Laplacian and a bounded continuous source term. The normalized $p$ -Laplacian is in non divergence form and…

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…

math.AP2012

Well-posedness and gradient blow-up estimate near the boundary for a Hamilton-Jacobi equation with degenerate diffusion

Amal Attouchi

This paper is concerned with weak solutions of the degenerate viscous Hamilton-Jacobi equation $\partial_{t} u - Δ_{p} u = ∣\nabla u ∣^{q},$ with Dirichlet boundary conditions in a bounded…

Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian

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

Well-posedness and gradient blow-up estimate near the boundary for a Hamilton-Jacobi equation with degenerate diffusion

Hölder regularity for the gradient of the inhomogeneous parabolic normalized $p$ -Laplacian

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