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10/2017, London Mathematical Society Lecture Note Series, ISBN 9781108419710, Volume 439, 206
The proceedings of the summer school held at the Université Savoie Mont Blanc, France, 'Mathematics in Savoie 2015', whose theme was long time behavior and... 
Evolution equations
eBook
Semigroup Forum, ISSN 0037-1912, 12/2017, Volume 95, Issue 3, pp. 527 - 538
We are concerned with the problem of determining the damping boundary coefficient appearing in a dissipative wave equation from a single boundary measurement.... 
Wave equation | Mathematics | Damping boundary coefficient | Algebra | Lipschitz directional stability | Uniqueness | MATHEMATICS
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 10/2017, Volume 68, Issue 5, pp. 1 - 13
This paper is dedicated to the investigation of the asymptotic behavior of a delayed wave equation without the presence of any displacement term. First, it is... 
Wave equation | Engineering | 34B05 | Mathematical Methods in Physics | 93D15 | Asymptotic behavior | 70J25 | Time-delay | Theoretical and Applied Mechanics | Logarithmic stability | 34D05 | BOUNDARY STABILIZATION | DISSIPATION | MATHEMATICS, APPLIED | DOMAIN | STABILITY | EXTERIOR PROBLEM | HYPERBOLIC-EQUATIONS | ENERGY DECAY | CONTROLLABILITY | Mathematics - Analysis of PDEs | Mathematics
Journal Article
Systems & Control Letters, ISSN 0167-6911, 05/2019, Volume 127, pp. 39 - 43
We study the stabilization issue of the Benjamin–Bona–Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In... 
Frequency domain method | Stabilization | Star-shaped network | BBM equation | Mathematics | Optimization and Control
Journal Article
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, ISSN 0003-9527, 05/2020, Volume 236, Issue 2, pp. 577 - 601
We consider the wave equation with Kelvin-Voigt damping in a bounded domain. The exponential stability result proposed by Liu and Rao (Z Angew Math Phys (ZAMP)... 
MATHEMATICS, APPLIED | SYSTEMS | MECHANICS | ENERGY DECAY | STABILITY | Damping | Wave equations
Journal Article
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2018, Volume 56, Issue 3, pp. 1620 - 1639
In this article, we propose a new model using the Korteweg-de Vries equation on a finite star-shaped network. We first prove the well-posedness of the system... 
Controllability | KdV equation | Stabilization | Star-shaped network | STRINGS | MATHEMATICS, APPLIED | star-shaped network | DOMAIN | stabilization | controllability | UNIQUE CONTINUATION | AUTOMATION & CONTROL SYSTEMS | Mathematics | Optimization and Control
Journal Article
Automatica, ISSN 0005-1098, 03/2020, Volume 113, p. 108821
In this paper, we discuss the feedback stabilization of bilinear systems under weak observation properties. In this case, the uniform stability is not... 
Decay estimate | Feedback stabilization | Distributed bilinear systems | CONTROLLABILITY | STABILIZABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
European Journal of Control, ISSN 0947-3580, 01/2018, Volume 39, pp. 35 - 38
We deal with the wave equation with assigned moving boundary (0 < x < a(t)) upon which Dirichlet–Neuman boundary conditions are satisfied, here a(t) is assumed... 
Rotation number | Stabilization | Strings with moving ends | STABILITY | ACTUATOR | OPTIMAL LOCATION | POINTWISE STABILIZATION | AUTOMATION & CONTROL SYSTEMS | Wave equation | Boundary value problems | Research | Mathematical research | Wave power | Energy | Feedback | Wave equations | Boundary conditions | Dirichlet problem | Mathematics
Journal Article
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 07/2018, Volume 98, Issue 7, pp. 1103 - 1122
The paper investigates the asymptotic behavior of a 2D overhead crane with input delays in the boundary control. A linear boundary control is proposed. The... 
time‐delay | 34B05 | asymptotic behavior | 93D15 | boundary velocity control | polynomial convergence | 70J25 | overhead crane | 34D05 | time-delay | TIME DELAYS | MATHEMATICS, APPLIED | HYPERBOLIC SYSTEMS | STABILITY | EQUATIONS | MODEL | RESPECT | MECHANICS | FEEDBACK STABILIZATION | FLEXIBLE CABLE | Cranes, derricks, etc | Electric cranes | Boundary control | Asymptotic properties | Delay | Convergence | Mathematics
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2017, Volume 448, Issue 1, pp. 262 - 280
We consider the free Schrödinger group e−itd2dx2 on the tadpole graph R. We first show that the time decay estimates L1(R)→L∞(R) is in |t|−12 with a constant... 
Tadpole graph | Dispersive estimate | Schrödinger operator | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | LINE | Schrodinger operator | Mathematics
Journal Article
SEMIGROUP FORUM, ISSN 0037-1912, 04/2020, Volume 100, Issue 2, pp. 364 - 382
In this paper we study the stability problem of a tree of elastic strings with local Kelvin-Voigt damping on some of the edges. Under the compatibility... 
Frequency approach | ENERGY | STABILIZATION | BEAMS | Dissipative wave operator | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | SHAPED NETWORKS | Kelvin-Voigt damping | EXPONENTIAL DECAY | Tree | SYSTEMS | SPECTRAL-ANALYSIS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2015, Volume 259, Issue 7, pp. 3344 - 3365
We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary... 
Boundary observability | Dissipative wave equation | Initial-to-boundary operator | Potential | Damping coefficient | Boundary measurements | MATHEMATICS | BOUNDARY-VALUE-PROBLEMS | INVERSE | Analysis of PDEs | Mathematics
Journal Article
Journal of medicinal food, ISSN 1096-620X, 01/2020
Carob ( L.) contains a wide variety of polyphenols with high antioxidant properties. In this study, we investigated the effects of aqueous extract of carob... 
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 12/2018, Volume 86, pp. 126 - 133
This article places primary emphasis on improving the asymptotic behavior of a multi-dimensional delayed wave equation in the absence of any displacement term.... 
Wave equation | Polynomial convergence | Exponential convergence | Time-delay | Asymptotic behavior | MATHEMATICS, APPLIED | STABILIZATION | BOUNDARY
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 11/2018, Volume 41, Issue 17, pp. 7915 - 7935
In this paper, we study the stability of a tree‐shaped network of elastic strings and beams with some feedbacks at the ends. The whole system is asymptotically... 
frequency domain method | uniform stability | strings | polynomial stability | Euler‐Bernoulli beams | network | Euler-Bernoulli beams | EIGENVALUE PROBLEM | RIESZ BASIS | MATHEMATICS, APPLIED | STABILIZATION | PLANAR NETWORKS | Strings | Stability | Decay
Journal Article
Journal of Evolution Equations, ISSN 1424-3199, 6/2019, Volume 19, Issue 2, pp. 305 - 319
We improve the preceding results obtained by Ammari and Choulli (J Differ Equ 259(7):3344–3365, 2015). They concern the stability issue of the inverse problem... 
Wave equation | 35R30 | Damping coefficient | Analysis | Mathematics | Potential | Hölder stability | Inverse problem | MATHEMATICS | MATHEMATICS, APPLIED | Holder stability | BOUNDARY COEFFICIENT | UNIQUENESS | Analysis of PDEs
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2016, Volume 144, Issue 10, pp. 4381 - 4392
We prove a logarithmic stability estimate for the inverse problem of determining the potential in a wave equation from boundary measurements obtained by... 
Wave equation | Potential | Boundary measurements | Inverse problem | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDARY-VALUE PROBLEM | THEOREM | wave equation | boundary measurements | LOGARITHMIC STABILITY | INVERSE PROBLEMS | DIRICHLET | potential | Analysis of PDEs | Mathematics
Journal Article
Journal of Dynamics and Differential Equations, ISSN 1040-7294, 06/2017, Volume 29, Issue 2, pp. 385 - 407
We show that the best decay rate can be estimated by the observability (or controllability) cost and open-loop admissibility cost. Moreover, we propose a... 
Best decay rate | Observability cost | Open-loop admissibility cost | Numerical study | MATHEMATICS | MATHEMATICS, APPLIED | ACTUATOR | OPTIMAL LOCATION | POINTWISE STABILIZATION | EQUATION
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2010, Volume 249, Issue 3, pp. 707 - 727
We consider a stabilization problem, for a model arising in the control of noise, coupling the damped wave equation with a damped Kirchhoff plate equation. We... 
Boundary stabilization | Multiplier | Wave/plate equation | Transmission | SYSTEM | MATHEMATICS | SINGULARITIES | REGULARITY | WAVE-EQUATION | FEEDBACK | KIRCHHOFF
Journal Article
Journal of Applied Analysis, ISSN 1425-6908, 06/2017, Volume 23, Issue 1, pp. 43 - 51
We deal with the wave equation with assigned moving boundary ( ) upon which Dirichlet or mixed boundary conditions are specified. Here is assumed to move... 
Strings with moving ends | 93B07 | rotation number | 95B05 | 35L05 | 34K35 | observability | Mathematical analysis | Boundary conditions | Waveform analysis
Journal Article
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