output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

Showing 2010 · math.APShow all

7 papers · 2 filters

math.AP2010★ 8 cited

Singularities of the wave trace near cluster points of the length spectrum

Yves Colin de Verdière, Victor Guillemin, David Jerison

Let be the eigenvalues of the Laplace operator on the unit disk with Dirichlet conditions. The distribution is the trace of the solution oper…

math.AP2010

Local energy decay for several evolution equations on asymptotically euclidean manifolds

Jean-Francois Bony, Dietrich Hafner

Let P be a long range metric perturbation of the Euclidean Laplacian on R^d, d>1. We prove local energy decay for the solutions of the wave, Klein-Gordon and Schroedinger equations…

math.AP2010★ 27 cited

Geometric optics and instability for NLS and Davey-Stewartson models

Rémi Carles, Eric Dumas, Christof Sparber

We study the interaction of (slowly modulated) high frequency waves for multi-dimensional nonlinear Schrodinger equations with gauge invariant power-law nonlinearities and non-loca…

math.AP2010★ 32 cited

Generic Morse-Smale property for the parabolic equation on the circle

Romain Joly, Geneviève Raugel

In this paper, we show that, for scalar reaction-diffusion equations on the circle , the Morse-Smale property is generic with respect to the non-linear…

math.AP2010

Asymptotic profiles for a travelling front solution of a biological equation

Guillemette Chapuisat, Romain Joly

We are interested in the existence of depolarization waves in the human brain. These waves propagate in the grey matter and are absorbed in the white matter. We consider a two-dime…

math.AP2010★ 5 cited

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations

Romain Joly, Geneviève Raugel

The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations on and those of the parabolic equatio…