activity
20062021
most citedRemark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials

7 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2021

Semi-classical defect measure and internal stabilization for the semilinear wave equation subject to Zarembaboundary conditions

Marcelo Cavalcanti, Pierre Cornilleau, Valéria Domingos Cavalcanti +2

In this article we exploite the uniform decay for damped linear wave equation with Zaremba boundary condition, obtained in a previous work, to treat the same problem in nonlinear c…

math.AP2020

Logarithmic stabilization of an acoustic system with a damping term of Brinkman type

Kaïs Ammari, Fathi Hassine, Luc Robbiano

We study the problem of stabilization for the acoustic system with a spatially distributed damping. Without imposing any hypotheses on the structural properties of the damping term…

math.AP2019

Stabilization for vibrating plate with singular structural damping

Kaïs Ammari, Fathi Hassine, Luc Robbiano

We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli plate equation, with a locally distributed singular structural (or viscoelastic ) damping in a boundary…

math.AP2019

Stabilization of fractional-evolution systems

Kaïs Ammari, Fathi Hassine, Luc Robbiano

This paper is devoted to the analysis of the problem of stabilization of fractional (in time) partial differential equations. We consider the following equation $$ \partial^{α,η}_{…

math.AP20121 cited

The Kato Smoothing Effect for Regularized Schrödinger Equations in Exterior Domains

Lassaad Aloui, Moez Khenissi, Luc Robbiano

We prove, under the exterior geometric control condition, the Kato smoothing effect for solutions of an inhomogenous and damped Schrödinger equation on exterior domains.

math.AP2006

The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains

Luc Robbiano, Claude Zuily

In this paper we prove the smoothing effect for solutions of Schr{ö}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials…