Institut de Mathématiques de Toulouse

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19952026

most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2007 · math.APShow all

3 papers · 2 filters

math.AP2007★ 1 cited

Semi-classical calculus on manifolds with ends and weighted Lp estimates

Jean-Marc Bouclet

For a class of non compact Riemannian manifolds with ends, we give pseudo-differential expansions of bounded functions of the semi-classical Laplacian and study related Lp boundedn…

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…

math.AP2007★ 2 cited

Gradient estimates for a degenerate parabolic equation with gradient absorption and applications

Jean-Philippe Bartier, Philippe Laurençot

Qualitative properties of non-negative solutions to a quasilinear degenerate parabolic equation with an absorption term depending solely on the gradient are shown, providing inform…