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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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3 papers

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 -Laplacian equation, , with . 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 of the evolution equation involving nonlinear diffusion and gradient absorption . We c…

math.DS2003

Nonlinear Diffusion and Image Contour Enhancement

G. I. Barenblatt, J. L. Vazquez

The theory of degenerate parabolic equations of the forms \[ u_t=(Φ(u_x))_{x} \quad {\rm and} \quad v_{t}=(Φ(v))_{xx} \] is used to analyze the process of contour enhancement in im…