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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

open access: yesПроблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal   +3 more
doaj   +1 more source

The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent

open access: yesJournal of Function Spaces, 2023
In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira   +3 more
doaj   +1 more source

Modelling health impacts of hepatitis – model selection and treatment plans

open access: yesMathematical and Computer Modelling of Dynamical Systems, 2022
Hepatitis B and C are viruses causing liver infections and resulting in grave secondary diseases. While there are different treatments for chronic liver infections, the process of evolving chronic diseases is still not fully understood.
Cordula Reisch
doaj   +1 more source

Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball [PDF]

open access: yesOpuscula Mathematica, 2022
In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the \(p\)-Laplacian \[-\Big(a+b\int_{\Omega_e}|\nabla u|^p dx\Big)\Delta_p u=\lambda f\left(|x|,u\right),\ x\in \Omega_e,\quad u=0\ \text ...
John R. Graef   +2 more
doaj   +1 more source

Controlled K-Fusion Frame for Hilbert Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia   +2 more
doaj   +1 more source

Developmental Partial Differential Equations [PDF]

open access: yes2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold with complete coupling between the PDE and the manifold's evolution.
Pouradier Duteil, Nastassia   +3 more
openaire   +6 more sources

On the Global Well-Posedness for a Hyperbolic Model Arising from Chemotaxis Model with Fractional Laplacian Operator

open access: yesJournal of Mathematics, 2023
Several cells and microorganisms, such as bacteria and somatic, have many essential features, one of which can be modeled by the chemotaxis system, which we consider to be our main interest in this article.
Oussama Melkemi   +3 more
doaj   +1 more source

∗-K-Operator Frame for Hom∗A(X)

open access: yesEuropean Journal of Mathematical Analysis, 2021
In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator.
Mohamed Rossafi   +2 more
doaj   +1 more source

On fixed point theorems in C-algebra valued b-asymmetric metric spaces

open access: yesAIMS Mathematics, 2022
In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature.
Ouafaa Bouftouh   +3 more
doaj   +1 more source

Prony-Type Polynomials and Their Common Zeros

open access: yesFrontiers in Applied Mathematics and Statistics, 2020
The problem of hidden periodicity of a bivariate exponential sum f(n)=∑j=1Najexp(-i〈ωj,n〉), where a1, …, aN ∈ ℂ\{0} and n ∈ ℤ2, is to recover frequency vectors ω1,…,ωN∈[0,2π) 2 using finitely many samples of f.
Jürgen Prestin, Hanna Veselovska
doaj   +1 more source

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