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Publications Influence

Carleman estimates for degenerate parabolic operators with applications to null controllability

- F. Alabau-Boussouira, P. Cannarsa, G. Fragnelli
- Mathematics
- 1 May 2006

Abstract.We prove an estimate of Carleman type for the one dimensional heat equation
$$ u_t - \left( {a\left( x \right)u_x } \right)_x + c\left( {t,x} \right)u = h\left( {t,x} \right),\quad \left(… Expand

138 19

Convexity and Weighted Integral Inequalities
for Energy Decay Rates of Nonlinear Dissipative Hyperbolic Systems

- F. Alabau-Boussouira
- Mathematics
- 2005

Abstract
This work is concerned with the stabilization of hyperbolic systems by a nonlinear
feedback which can be localized on a part of the boundary or locally distributed. We show that general… Expand

145 11

A general method for proving sharp energy decay rates for memory-dissipative evolution equations

- F. Alabau-Boussouira, P. Cannarsa
- Mathematics
- 1 August 2009

Abstract This Note is concerned with stabilization of hyperbolic systems by a distributed memory feedback. We present here a general method which gives energy decay rates in terms of the asymptotic… Expand

78 9- PDF

Decay estimates for second order evolution equations with memory

- F. Alabau-Boussouira, P. Cannarsa, D. Sforza
- Mathematics
- 1 March 2008

Abstract This paper develops a unified method to derive decay estimates for general second order integro-differential evolution equations with semilinear source terms. Depending on the properties of… Expand

129 6- PDF

Internal Controllability of First Order Quasi-linear Hyperbolic Systems with a Reduced Number of Controls

- F. Alabau-Boussouira, J. Coron, O. Séro-Guillaume
- Mathematics, Computer Science
- SIAM J. Control. Optim.
- 8 February 2017

TLDR

24 5- PDF

Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control

- F. Alabau-Boussouira
- Mathematics
- 19 December 2007

Abstract.We consider systems of Timoshenko type in a one-dimensional bounded domain. The physical system is damped by a single feedback force, only in the equation for the rotation angle, no direct… Expand

84 3

Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems

- F. Alabau-Boussouira
- Mathematics, Computer Science
- SIAM J. Control. Optim.
- 1 February 2002

TLDR

78 3

A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems

- F. Alabau-Boussouira
- Mathematics, Computer Science
- SIAM J. Control. Optim.
- 2003

TLDR

68 3

INDIRECT STABILIZATION OF LOCALLY COUPLED WAVE-TYPE SYSTEMS

- F. Alabau-Boussouira, Matthieu Léautaud
- Mathematics
- 1 April 2012

We study in an abstract setting the indirect stabilization of systems of two wave-like equations coupled by a localized zero order term. Only one of the two equations is directly damped. The main… Expand

46 3- PDF

Indirect controllability of locally coupled wave-type systems and applications

- F. Alabau-Boussouira, Matthieu Léautaud
- Mathematics
- 1 May 2013

Abstract We consider symmetric systems of two wave-type equations only one of them being controlled. The two equations are coupled by zero order terms, localized in part of the domain. We prove an… Expand

52 3- PDF

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