The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

You searched for oufi
Total of 7 results found in site

3: Paper Source PDF document

Paper's Title:

On Opial's Inequality for Functions of n-Independent Variables

Author(s):

S. A. A. El-Marouf and S. A. AL-Oufi

Department of Mathematics,
Faculty of Science,
Minoufiya University,
Shebin El-Koom,
Egypt

Department of Mathematics,
Faculty of Science, Taibah University,
Madenahmonwarah,
Kingdom of Saudia Arabia
 

Abstract:

In this paper, we introduce Opial inequalities for functions of n-independent variables. Also, we discuss some different forms of Opial inequality containing functions of n independent variables and their partial derivatives with respect to independent variables.



2: Paper Source PDF document

Paper's Title:

Stability of the D-Bar Reconstruction Method for Complex Conductivities

Author(s):

1S. El Kontar, 1T. El Arwadi, 1H. Chrayteh, 2J.-M. Sac-Épée

1Department of Mathematics and Computer Science,
Faculty of Science, Beirut Arab University,
P.O. Box: 11-5020, Beirut,
Lebanon.

E-mail: srs915@student.bau.edu.lb

2Institut Élie Cartan de Lorraine,
Université de Lorraine - Metz,
France.

Abstract:

In 2000, Francini solved the inverse conductivity problem for twice-differentiable conductivities and permittivities. This solution was considered to be the first approach using D-bar methods with complex conductivities. In 2012, based on Francini's work, Hamilton introduced a reconstruction method of the conductivity distribution with complex values. The method consists of six steps. A voltage potential is applied on the boundary. Solving a D-Bar equation gives the complex conductivity. In this paper, the stability of the D-Bar equation is studied via two approximations, texp and tB, for the scattering transform. The study is based on rewriting the reconstruction method in terms of continuous operators. The conductivity is considered to be non smooth.



2: Paper Source PDF document

Paper's Title:

Action of Differential Operators On Chirpsconstruct On L

Author(s):

Taoufik El Bouayachi and Naji Yebari

Laboratoire de Mathematiques et applications,
Faculty of sciences and techniques, Tangier,
Morocco.
E-mail: figo407@gmail.com, yebarinaji@gmail.com

Abstract:

We will study in this work the action of differential operators on L chirps and we will give a new definition of logarithmic chirp. Finally we will study the action of singular integral operators on chirps by wavelet characterization and Kernel method.


Search and serve lasted 0 second(s).


© 2004-2021 Austral Internet Publishing