Results 21 to 30 of about 289 (31)

Comments on: "Continuous initial observability of nonlinear delay parabolic equations" by Choi, Kwung and Park [PDF]

open access: yes, 2004
International audienceIt is shown that the assumptions of the main result of the cited paper can never be ...
Rabah, Rabah
core   +2 more sources

Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications

open access: yes, 2016
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
core   +1 more source

Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

open access: yes, 2013
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on controllability results through Carleman estimates for the associated adjoint problem.
Fragnelli, Genni, Mugnai, Dimitri
core   +1 more source

FRW barotropic zero modes: Dynamical systems observability

open access: yes, 2006
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.
core   +1 more source

Inverse coefficient problem for Grushin-type parabolic operators

open access: yes, 2013
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
core   +1 more source

Generalized form of fractional order COVID-19 model with Mittag-Leffler kernel. [PDF]

open access: yesMath Methods Appl Sci, 2021
Aslam M   +4 more
europepmc   +1 more source

Optimal Actuator Location of the Minimum Norm Controls for Stochastic Heat Equations

open access: yes, 2017
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
core  

Null controllability of a population dynamics with interior degeneracy

open access: yes, 2017
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
core   +1 more source

Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation

open access: yes, 2012
We study a damped semi-linear wave equation in a bounded domain with smooth boundary. It is proved that any sufficiently smooth solution can be stabilised locally by a finite-dimensional feedback control supported by a given open subset satisfying a ...
Ammari, Kaïs   +2 more
core   +1 more source

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