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Direct and inverse source problems for degenerate parabolic equations
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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
Sun Oct 19 2025
Journal Name
Lecture Notes In Networks And Systems
The Effect of Special Exercises According to a Smart Sports Bracelet to Develop Some Physical and Kinetic Abilities of Volleyball Players
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The current study investigates the role of smart sports bracelets on physical and motor skills development among youth volleyball players, closing the research gap of wearable technology in sport training. Understanding the necessity of up-to-date training measures of handicaps for perfection of athletic performance, the research is focused on comparison of the effect of strength, agility and flexibility achieved with the use of smart sports bracelet with real time feedback (test group) and without (control group). The research adopted a quasi-experimental design through a sample of (12) players et al.-Karkh Sports Club, (6) of them were in the experimental group (who used the smart bracelet) and (6) of them were in the control group (who u

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Publication Date
Fri Jan 20 2023
Journal Name
Bionatura
Impact of inflammatory markers, dread diseases and cycle threshold (Ct) Values in COVID-19 progression. Revis Bionatura 2023; 8 (1) 33
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Publication Date
Sat Aug 30 2014
Journal Name
European Chemical Bulletin
SYNTHESIS AND SPECTRAL STUDIES OF METAL COMPLEXES WITH 3,4,6,7-O,O,O,O-TETRAKIS- (CARBOXY(CHLORO)METHYL)-L-ASCORBIC ACID (H4L)
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European Chemical Bulletin (ISSN 2063-5346) is a peer-reviewed journal that publishes original research papers, short communications, and review articles in all areas of chemistry. European Chemical Bulletin has eight sections, namely

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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
Effect of alkaloid and phenolic extract administration oi Allium cepa L Ù  on some biochemical parameters of blood on albino mice
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؛ ١٨his study male and female albino mice werdministr^d doses of alkaloid and phenolic extracts of Allium cepa at doses of( 25 ,50,100, 200) mg / kg of( body weight). males and females were divided into four groups and each croup comprised mice were injected intra^ritonially daily for one week and orally ٢٠٢ one month . After which animals were killed and the serum was separated for biochemical analysis (total blood suger, total protein , otal cholesterol). Results showed significant decrease ( p< 0,05) in the total blood suger and total cholesterol on the serum of both males and females and significant increase( p< 0,05) in the total serum protein of both males and females of the two types of injection and oral administr

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Publication Date
Sun Jun 01 2025
Journal Name
Kufa Journal For Agricultural Sciences
Estimating the population density of Vegetable leaf miner Liriomyza sativae Blanchard (Diptera: Agromyzidae) on Tomato and Cucumber crops in the Greenhouses
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Publication Date
Sat Sep 30 2023
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The use of green accounting information systems in the oil sector and its impact on reporting on sustainability - an applied study
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Abstract

                  The research seeks to shed light on green accounting information systems, analyze them, identify sustainability reporting and how to improve it, as well as study the importance of the Iraqi oil sector, analyze it, and work on applying green accounting information systems in order to improve the quality of sustainability reporting. Oil as a branch of the General Corporation for the Distribution of Oil and Gas Products to apply the practical aspect and prove the hypothesis of the research. Explaining the company's role in improving environmental conditions

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Publication Date
Wed Sep 15 2021
Journal Name
Journal Of Baghdad College Of Dentistry
The effect of contact time between alginate impression material and type III dental stone on the surface properties of stone casts
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Background: Alginate impression material is the irreversible hydrocolloid material that is widely used in dentistry. The contact time between alginate and gypsum cast could have a detrimental effect on the properties of the gypsum cast. The objective of this study is to evaluate the impact of various contact time intervals of Alginate impressions & type III dental stone on surface properties of stone cast. Materials and Methods: Time intervals tested were 1hour, 6 hours and 9 hours. Surface properties of stone cast evaluated were surface detail reproduction, hardness and roughness. Surface detail reproduction was determined using cylindrical brass test block in accordance with ISO 1563. Surface roughness was measured by profilometer

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Publication Date
Sat Aug 31 2024
Journal Name
Iraqi Geological Journal
Microfacies Analysis and Evolution of Porosity of the Albian-Early Cenomanian Mauddud Formation from Selected Wells in Ratawi Oilfield, Southern Iraq
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Mauddud Formation (Albian stage-the Early Cretaceous) is an important oil reservoir in Ratawi field of southern Iraq. Four wells, R T-2, R T-3, R T-6, and R T-7, located 70 km northwest of Basra, were selected to study microfacies properties and petrophysical associations with the probability of oil production. Seventy-seven core samples are collected, and thin sections for petrographic analysis. The self-potential, Gamma-ray, resistivity, and porosity logs are used to determine the top and bottom of the Mauddud Formation. Water saturation of the invaded and uninvaded zones, shale volume, and porosity were calculated. The study area results showed that the quantity of shale is less than 15% for most of the wells, and the dominant po

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Publication Date
Sun Mar 01 2020
Journal Name
International Journal Of Pharmaceutical Research
Phytochemical investigation,anti-proliferative and antioxidant- activities of Iraqi Capparisspinosa L. (Family Capparidaceae) against MCF-7 human Breast cancer cell line
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Publication Date
Sun Mar 19 2023
Journal Name
Nasaq Journal
The impact of the Roundhouse strategy on the achievement of the fifth grade secondary school in physics and their pivotal thinking
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The aim of the research is to study the effect of the roundhouse strategy on the achievement of fifth grade secondary school in physics and their pivotal thinking. The experiment has been applied for obtaining the data, which were processed statistically using the Statistical Package for Social Sciences, the results revealed that the students of the experimental group who studied using the roundhouse strategy was superior to the students of the control group who studied in the traditional method in the achievement exam. The results also show that there are statistically significant differences between the mean scores of the students of the experimental group and the control group in the pivotal thinking exam, in favor of the experimental gr

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