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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

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9 papers · 1 filter

math.AP2023

Null-controllability for a fourth order parabolic equation under general boundary conditions

Emmanuel Wend-Benedo Zongo, Luc Robbiano

In this paper, we consider a fourth order inner-controlled parabolic equation on an open bounded subset of , or a smooth compact manifold with boundary, along with general bou…

math.AP2023

Uniform stabilization of an acoustic system

Kaïs Ammari, Fathi Hassine, Luc Robbiano

We study the problem of stabilization for the acoustic system with a spatially distributed damping. With imposing hypothesis on the structural properties of the damping term, we id…

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}_{…