Results 11 to 20 of about 645 (200)

An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics
In this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
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Logarithmic Decay of Wave Equation with Kelvin-Voigt Damping

Mathematics, 2020
In this paper, we analyze the longtime behavior of the wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-diff-calculus, we obtain a Carleman estimate, and then establish an estimate on the corresponding ...
Luc Robbiano, Qiong Zhang
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Null Controllability of a Four Stage and Age-Structured Population Dynamics Model

Journal of Mathematics, 2021
This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions.
Amidou Traoré, Bedr’Eddine Ainseba, Oumar Traoré   +2 more
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Insensitizing control of KDV–Burgers equations

Journal of Electrical Systems and Information Technology, 2018
This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
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Some Estimates For The Carleman Function

The American Journal of Applied sciences, 2021
In this article we consider Carlеman’s functions, to find integral representation for the polygarmonious functions defined in unbounded domain of Euclidean space which ...
Ashurova Zebiniso Raximovna, Juraeva Nodira Yunusovna   +1 more
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An extension of the estimation for solutions of certain Laplace equations

Journal of Inequalities and Applications, 2016
In this paper, by using a new type of Carleman formula with respect to a certain Laplace operator, we estimate the growth property for solutions of certain Laplace equations defined in a smooth cone.
Bin Huang, Jiaofeng Wang, Maria Hampshire Zylbersztejn   +2 more
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Carleman inequality for a class of super strong degenerate parabolic operators and applications

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo, Reginaldo Demarque, Luiz Viana   +2 more
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Insensitizing controls for the Cahn-Hilliard type equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
This paper is addressed to showing the existence of insensitizing controls for the one-dimensional Cahn--Hilliard type equation with a superlinear nonlinearity. We solve this problem by reducing the original problem to a controllability problem.
Peng Gao
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A Strongly Ill-Posed Problem for the Equation

Cumhuriyet Science Journal, 2018
In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
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Approximate controllability of the coupled degenerate system with two boundary controls

Boundary Value Problems, 2017
In this paper, we investigate the approximate controllability of the coupled system with boundary degeneracy. The control functions act on the degenerate boundary. We prove the Carleman estimate and the unique continuation of the adjoint system.
Runmei Du
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