J. Vázquez

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20032009

most citedLocalized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption

20 citations · 20 across the 3 of their papers we have counts for

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math.AP2009

Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation

M. Bonforte, R. G. Iagar, J. L. Vazquez

We study qualitative and quantitative properties of local weak solutions of the fast $p$ -Laplacian equation, $\partial_{t} u = Δ_{p} u$ , with $1 < p < 2$ . Our main results are quantitative…

math.AP2007★ 20 cited

Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption

Philippe Laurençot, Juan Luis Vázquez

We study the large-time behaviour of the solutions $u$ of the evolution equation involving nonlinear diffusion and gradient absorption $\partial_{t} u - Δ_{p} u + ∣\nabla u ∣^{q} = 0$ . We c…