Results 21 to 30 of about 312 (52)
We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. We establish stability estimates of logarithmic type when the measurements are given by the
Ammari, Kaïs, Choulli, Mourad
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On the Dynamics of Dengue Virus type 2 with Residence Times and Vertical Transmission
A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modeled via a Lagrangian approach.
Bichara, Derdei +4 more
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This paper aims to provide directly the observability inequality of backward stochastic heat equations for measurable sets. As an immediate application, the null controllability of the forward heat equations is obtained.
Yang, Donghui, Zhong, Jie
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Comments on: "Continuous initial observability of nonlinear delay parabolic equations" by Choi, Kwung and Park [PDF]
International audienceIt is shown that the assumptions of the main result of the cited paper can never be ...
Rabah, Rabah
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Observation and inverse problems in coupled cell networks
A coupled cell network is a model for many situations such as food webs in ecosystems, cellular metabolism, economical networks... It consists in a directed graph $G$, each node (or cell) representing an agent of the network and each directed arrow ...
Abraham R +6 more
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FRW barotropic zero modes: Dynamical systems observability
The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently developed in many engineering areas but their application has
Ibarra-Junquera, V., Rosu, H. C.
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Inverse coefficient problem for Grushin-type parabolic operators
The approach to Lipschitz stability for uniformly parabolic equations introduced by Imanuvilov and Yamamoto in 1998 based on Carleman estimates, seems hard to apply to the case of Grushin-type operators studied in this paper.
Beauchard, Karine, Cannarsa, Piermarco
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Generalized form of fractional order COVID-19 model with Mittag-Leffler kernel. [PDF]
Aslam M +4 more
europepmc +1 more source
Optimal Actuator Location of the Minimum Norm Controls for Stochastic Heat Equations
In this paper, we study the approximate controllability for the stochastic heat equation over measurable sets, and the optimal actuator location of the minimum norm controls.
Yang, Donghui, Zhong, Jie
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Null controllability of a population dynamics with interior degeneracy
In this paper, we deal with the null controllability of a population dynamics model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and afterwards we deduce a suitable observability ...
Boutaayamou, Idriss, Echarroudi, Younes
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