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Direct and inverse source problems for degenerate parabolic equations
Abstract<p>Degenerate parabolic partial differential equations (PDEs) with vanishing or unbounded leading coefficient make the PDE non-uniformly parabolic, and new theories need to be developed in the context of practical applications of such rather unstudied mathematical models arising in porous media, population dynamics, financial mathematics, etc. With this new challenge in mind, this paper considers investigating newly formulated direct and inverse problems associated with non-uniform parabolic PDEs where the leading space- and time-dependent coefficient is allowed to vanish on a non-empty, but zero measure, kernel set. In the context of inverse analysis, we consider the linear but ill-posed identification of a space-dependent source from a time-integral observation of the weighted main dependent variable. For both, this inverse source problem as well as its corresponding direct formulation, we rigorously investigate the question of well-posedness. We also give examples of inverse problems for which sufficient conditions guaranteeing the unique solvability are fulfilled, and present the results of numerical simulations. It is hoped that the analysis initiated in this study will open up new avenues for research in the field of direct and inverse problems for degenerate parabolic equations with applications.</p>
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Publication Date
Mon Jun 01 2020
Journal Name
Journal Of The College Of Languages (jcl)
The adaptation and the different modifications of borrowed Arabic Plurals in Modern Turkish: Kökende Çoğul Olarak Kullanılan Arapça Kelimelerin Türkçe’ye Geçmesi ve Türkiye Türkçesinde Kullanım Şekilleri

In the tenth century, Turks began to convert into Islam and adopted for official and literary use the Arabic language to study the teachings of the new religion they believed in. The use of  many of the loanwords have become absolute in the Ottoman period, but even in Modern Turkish a large number of loanwords from Arabic can be often recognized because they are not subject to the strict rules of Turkish. Yet, some of these words lost its original meaning and acquired new different Turkish meaning. Moreover, some of the Arabic nouns of singular form in Turkish, modified the plural Turkish form. The present study entitled “the adaptation and the different modifications of borrowed Arabic Plurals in Modern Turkish” sheds light on

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Publication Date
Wed Nov 05 2025
Journal Name
Journal Of The College Of Basic Education
The impact of cross-training in the development of the skills of the crushing blow and the blow-to-blow stroke under the age of 17

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Publication Date
Sun Jan 01 2017
Journal Name
البحوث التربوية والنفسية
the effect of an educational -learning programe according to the concepts of renewable energy and nanotechnology on technological enlightenment among students of the che chemistry department

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Publication Date
Wed Dec 01 2021
Journal Name
Journal Of Economics And Administrative Sciences
The Effect of Using Information and Communication Technology to Improving the Quality of Blended Learning Elements’, a Survey Study at the Technical College of Management /Baghdad

 The research has been based on two main variables (information and communication technology) and the quality of blended education (physical and electronic), aiming to reveal the relationship between four dimensions (physical devices, software, databases, communication networks) and the elements of education represented by (the teacher, the student, the teaching process, curriculum).  The methodology and post-analysis-based research were conducted at the Technical College of Management / Baghdad through polling the opinions of a random sample that included (80) teachers out of (86) and the number of students (276) representing a random sample from all departments of the college (for the morning study) out of (3500) stud

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Publication Date
Sat Jun 01 2019
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Rationalization the costs and improve seed quality under the application of biotechnology: An Applied Research in Ministry of Agriculture - the Directorate of Inspection &Certification of Seeds

The importance of this research has been to rationalize the cost of producing maize seeds through the followers of modern techniques and methods in agricultural activities such as genetic engineering for the purpose of increasing production efficiency of maize seeds as well as the importance of calculating seed cost rationalization through the ABC system and thus rationalizing government spending. The research is based on a single hypothesis that the use of genetic engineering on corn seeds works to:increase production efficiency of seeds and savings in agricultural inputs, calculation of rationalization through the cost system on the basis of activity ABC The research reached a number of conclus

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Publication Date
Mon Dec 25 2017
Journal Name
Biomedical And Pharmacology Journal
Evaluation of Crestal Bone Loss and Alkaline Phosphatase Level in Saliva According To Different Flap Designs in Single-Tooth Dental Implant Surgery (A Clinical Comparative Study)

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Publication Date
Fri Jan 01 2021
Journal Name
Journal Of Economics And Administrative Sciences
Role of Strategic Leadership in Achieving University Governance Requirements: A Survey of a Sample of Teaching Staff at College of Administration and Economics/University of Mosul

Aim of the Study: The paper aims at identifying the extent of the role of strategic leadership represented by its four dimensions (administrative, transformational, political, moral) in fulfilling the requirements of university governance (Context, message and Goal, Management orientation, Independence, Issue, Sharing)

Methodology: A survey is applied to (107) members of the teaching staff at the college of Administration and Economics/ University of Mosul.  To achieve the goals of the study, the researcher makes use of a number of tools such as:  questionnaire, statistical tools and methods (repetitions, perce

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Publication Date
Sun Dec 04 2016
Journal Name
Baghdad Science Journal
Physiological study to investigate the activity of an aqueous extract ofCinnamomum cassiabark on the blood glucose levels in healthy and diabetic rats induced by streptozotocin (stz)

The present study was investigated the activity of aqueous extract from Cinnamomum cassia bark on the blood glucose levels in healthy and diabetic rats induced by Streptozotcin (STZ). In healthy rats the blood glucose levels were slightly decreased after six hoursof single oral administration with dose (25 mg/kg) of body wight, as well as four weeks after twice daily repeated oral administration of aqueous extract of Cinnamomum cassia bark. In streptozotocin induced diabetic rats we absorved high significant decreased (p<0.05) in blood glucose levels, after four weeks of oral administration of aqueous extract (25 mg /kg ).And blood glucose levels seems to be normal after the period of treatment .Glibenclamide used as standard drug to com

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Publication Date
Wed Nov 05 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of olive oil as a separating medium and its effect on some physical properties of processed acrylic resin denture base (A comparative study). Part one

Back ground: During acrylic resin processing, the mold must be separated from the surface of the gypsum to prevent liquid resin from penetrating into the gypsum, and water from the gypsum seeping into the acrylic resin. For many years, tin foil was the most acceptable separating medium, and because it's difficult to apply, a tin-foil substitute is used. In this study, olive oil is used as an alternative to tin foil separating medium for first time, so the aim of the study was to evaluate its effect as a separating medium on some physical properties such as (surface roughness, water sorption and solubility) of acrylic resins denture base comparing it with those processed using tin-foil and tin foil substitute such as (cold mold seal) separat

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Publication Date
Fri Apr 12 2019
Journal Name
Journal Of Economics And Administrative Sciences
Transformational leadership and its role in organizational success An analytical study of the views of a sample of employees at the Faculty of Education, Samarra University

This research aims to know the role of transformational leadership in the organizational success of the College of Education at Samarra University. The researcher adopted the analytical descriptive method in analyzing the research problem. The research included two main hypotheses that resulted in four hypotheses that were subjected to statistical tests. A sample of (54) The researcher used the survey method as a main tool for collecting data and information as well as visits and structured interviews that took place during the period of application. The research reached a set of conclusions and recommendations among the conclusions that there is an art relationship There is a strong and moral impact between transformational lead

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