Results 11 to 20 of about 161 (155)

On Some Fractional Magnetic Problems

Pan-American Journal of Mathematics, 2023
In this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation ...
Frédéric D. Y. Zongo, Salifou Korbeogo, Arouna Ouédraogo   +2 more
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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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Using Alternating Minimization and Convexified Carleman Weighted Objective Functional for a Time-Domain Inverse Scattering Problem

Axioms, 2023
This paper considers a 1D time-domain inverse scattering problem for the Helmholtz equation in which penetrable scatterers are to be determined from boundary measurements of the scattering data.
Nguyen Trung Thành
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Null controllability for a singular heat equation with a memory term

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new ...
Brahim Allal, Genni Fragnelli, Jawad Salhi   +2 more
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Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds

International Journal of Mathematics and Mathematical Sciences, 2002
Cohomology with bounds are used to globalize a result of Hörmander obtaining Carleman estimates for the Cauchy-Riemann operator on Stein manifolds.
Patrick W. Darko
doaj   +1 more source

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
doaj   +1 more source

Uniqueness properties for discrete equations and Carleman estimates

Journal of Functional Analysis, 2017
In the revised version, published in 2017, we improve our Carleman estimate and the method of proof of Theorem 1.1 in order to quantify the uniqueness result in the one dimensional case, proving the sharp uniqueness result conjectured by Lyubarskii, Jaming, Malinnikova and ...
Bertolin, Aingeru Fernández, Vega, Luis
openaire   +5 more sources

Carleman estimates and null controllability of a class of singular parabolic equations

Advances in Nonlinear Analysis, 2018
In this paper, we consider control systems governed by a class of semilinear parabolic equations, which are singular at the boundary and possess singular convection and reaction terms.
Du Runmei, Eichhorn Jürgen, Liu Qiang, Wang Chunpeng   +3 more
doaj   +1 more source

Controllability of a fluid-structure interaction system coupling the Navier–Stokes system and a damped beam equation

Comptes Rendus. Mathématique, 2023
We show the local null-controllability of a fluid-structure interaction system coupling a viscous incompressible fluid with a damped beam located on a part of its boundary.
Buffe, Rémi, Takahashi, Takéo
doaj   +1 more source

Local exact controllability of the age-dependent population dynamics with diffusion

Abstract and Applied Analysis, 2001
We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of ...
Bedr'eddine Ainseba, Sebastian Anita
doaj   +1 more source