46 citations · 144 across the 25 of their papers we have counts for
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math.AP2015
On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation
Isabella Ianni, Stefan Le Coz, Julien Royer
We consider the one-dimensional Gross-Pitaevskii equation perturbed by a Dirac potential. Using a fine analysis of the properties of the linear propagator, we study the well-posedn…
math-ph2015★ 7 cited
Local decay for the damped wave equation in the energy space
Julien Royer
We improve a previous result about the local energy decay for the damped wave equation on R^d. The problem is governed by a Laplacian associated with a long range perturbation of t…
math-ph2015★ 6 cited
Local energy decay and smoothing effect for the damped Schr{ö}dinger equation
Moez Khenissi, Julien Royer
We prove the local energy decay and the smoothing effect for the damped Schr{ö}dinger equation on R^d. The self-adjoint part is a Laplacian associated to a long-range perturbation…