activity
20152023
most citedA one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities

4 citations · 4 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2023

Part II On strong and non uniform stability of locally damped Timoshenko beam: Mathematical corrections to the proof of Theorem 2.2 in the publication referenced as [1] in the bibliography

Fatiha Alabau-Boussouira

In part I of the rebuttal (see [2] to the article [1] entitled "Uniform stabilization for the Timoshenko beam by a locally distributed damping" published in 2003, in the journal El…

math.AP2023

Part I: Rebuttal to "Uniform stabilization for the Timoshenko beam by a locally distributed damping"

Fatiha Alabau-Boussouira

A paper, entitled "Uniform stabilization for the Timoshenko beam by a locally distributed damping" was published in 2003, in the journal Electronic Journal of Differential Equation…

math.OC2023

Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker-Planck equation

Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani

We study the exact controllability of the evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where is a nonnegative self-adjoint operator on a Hilbert…

math.AP2022

Rebuttal to "Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation"

Fatiha Alabau-Boussouira

A paper, entitled "Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation" was published in 2016, in the journal Boletim da Sociedade Paranaense de Matemati…

math.OC2021

Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control

Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani

In a separable Hilbert space , we study the controlled evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0, \end{equation*} where () is a self-adjoin…

math.OC2019

Superexponential stabilizability of evolution equations of parabolic type via bilinear control

Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani

We prove rapid stabilizability to the ground state solution for a class of abstract parabolic equations of the form \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0,\qquad t\geq0 \end{equ…