Results 1 to 10 of about 651 (202)

Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients [PDF]

Advances in Nonlinear Analysis, 2017
We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Genni Fragnelli, Dimitri Mugnai
exaly   +3 more sources

Carleman estimates and null controllability of a class of singular parabolic equations [PDF]

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   +2 more sources

Hölder stability and uniqueness for the mean field games system via Carleman estimates [PDF]

Studies in Applied Mathematics, 2023
Hongyu Liu
exaly   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

Advances in Nonlinear Analysis, 2013
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem.
Fragnelli Genni, Mugnai Dimitri
doaj   +1 more source

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
doaj   +1 more source

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

Null controllability for a degenerate population model in divergence form via Carleman estimates

Advances in Nonlinear Analysis, 2019
In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
doaj   +1 more source