Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2006 · math.APShow all

7 papers · 2 filters

math.AP2006

Inverse Problem for the Schrödinger Operator in an Unbounded Strip

Laure Cardoulis, Michel Cristofol, Patricia Gaitan

We consider the operator $H := i \partial_{t} + \nabla \cdot (c \nabla)$ in an unbounded strip $Ω$ in $R^{2}$ , where $c (x, y) \in C^{3} (Ω ˉ)$ . We prove adapted a globa…

math.AP2006

Rearrangement inequalities and applications to isoperimetric problems for eigenvalues

Francois Hamel, Nikolai Nadirashvili, Emmanuel Russ

Let $Ω$ be a bounded $C^{2}$ domain in $R^{n}$ , and let $Ω^{*}$ be the Euclidean ball centered at 0 and having the same Lebesgue measure as $Ω$ . Consider the operator $L=-÷(A\nab…

math.AP2006★ 12 cited

A Faber-Krahn inequality with drift

Francois Hamel, Nikolai Nadirashvili, Emmanuel Russ

Let $Ω$ be a bounded $C^{2, α}$ domain in $R^{n}$ ( $n \geq 1$ , $0 < α < 1$ ), $Ω^{*}$ be the open Euclidean ball centered at 0 having the same Lebesgue measure as $Ω$ , $τ \geq 0$ and $v\…

math.AP2006

Nonclassical multidimensional viscous and inviscid shocks

Olivier Gues, Guy Métivier, Mark Williams +1

Extending our earlier work on Lax-type shocks of systems of conservation laws, we establish existence and stability of curved multidimensional shock fronts in the vanishing viscosi…

math.AP2006

Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain

Antonio Gaudiello, Ali Sili

We consider a thin multidomain of $R^{N}$ , N>1, consisting of two vertical cylinders, one placed upon the other: the first one with given height and small cross section, the second o…

math.AP2006

On the ferromagnetism equations with large variations solutions

Olivier Guès, Franck Sueur

We exhibit some large variations solutions of the Landau-Lifschitz equations as the exchange coefficient ε^2 tends to zero. These solutions are described by some asymptotic ex…