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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2018 · math.APShow all

25 papers · 2 filters

math.AP2018★ 2 cited

Dimension reduction and optimality of the uniform state in a Phase-Field-Crystal model involving a higher order functional

Radu Ignat, Hamdi Zorgati

We study a Phase-Field-Crystal model described by a free energy functional involving second order derivatives of the order parameter in a periodic setting and under a fixed mass co…

math.AP2018

BD Entropy and Bernis-Friedman Entropy

Didier Bresch, Mathieu Colin, Khawla Msheik +2

In this note, we propose in the full generality a link between the BD entropy introduced by D. Bresch andB. Desjardins for the viscous shallow-water equations and the Bernis-Friedm…

math.AP2018

Scattering in the weighted -space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity

Abdelwahab Bensouilah, Van Duong Dinh, Mohamed Majdoub

We investigate the defocusing inhomogeneous nonlinear Schrödinger equation $$ i \partial_tu + Δu = |x|^{-b} \left({\rm e}^{α|u|^2} - 1- α|u|^2 \right) u, \quad u(0)=u_0, \quad x \i…

math.AP2018

Sharp resolvent and time decay estimates for dispersive equations on asymptotically Euclidean backgrounds

Jean-Marc Bouclet, Nicolas Burq

The purpose of this article is twofold. First we give a very robust method for proving sharp time decay estimates for the most classical three models of dispersive Partial Differen…

math.AP2018★ 8 cited

Stability of Standing Waves for a Nonlinear Klein-Gordon Equation with Delta Potentials

Elek Csobo, François Genoud, Masahito Ohta +1

In this paper, we study local well-posedness and orbital stability of standing waves for a singularly perturbed one-dimensional nonlinear Klein-Gordon equation. We first establish…

math.AP2018★ 8 cited

Singular perturbation of manifold-valued maps with anisotropic energy

Andres Contreras, Xavier Lamy

We establish small energy Hölder bounds for minimizers of \[E_\varepsilon (u):=\int_ΩW(\nabla u)+ \frac{1}{\varepsilon^2} \int_Ωf(u),\] where is a positive defi…