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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
Tue Dec 23 2025
Journal Name
Modern Sport
An analytical study of some of the deterministic variables of the stage of advancement and its relation to the accuracy of the performance of the skill of high jump correction
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Publication Date
Sun Mar 31 2024
Journal Name
Techhub Journal
The effect of increasing the intensity of specialized endurance training on runners' ability in the advanced 1500-meter run in terms of vital capacity indicators (V.C.) and heart rate (S.V.)
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The 1500m race event is part of the athletics system, and the continuous competition to break records and achieve the highest levels of achievement in athletics events, especially the 1500m race event, is one of the topics that occupies the minds of many people interested in achieving digital development for this event, given the distance of the race and the time it takes to complete it. Because it is unique from other events, it has characteristics that distinguish it from other events, despite it being a middle-distance event, which shares with them that its speed is measured by the step, which consists of the length of the step and its frequency. Increasing any of these two factors while keeping one of them constant or increasing

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Publication Date
Wed May 01 2024
Journal Name
Journal Of Physics: Conference Series
Effect of Sulfur on Characterization of AgInSe<sub>1.8</sub>S<sub>0.2</sub> Thin Film and n-AgInSe<sub>1.8</sub>S<sub>0.2</sub> / p-Si Solar Cell
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Abstract Ternary Silver Indium selenide Sulfur AgInSe1.8S0.2 in pure form and with a 0.2 ratio of Sulfur were fabricated via thermal evaporation under vacuum 3*10-6 torr on glasses substrates with a thickness of (550) nm. These films were investigated to understand their structural, optical, and Hall Characteristics. X-ray diffraction analysis was employed to examine the impact of varying Sulfur ratios on the structural properties. The results revealed that the AgInSe1.8S0.2 thin films in their pure form and with a 0.2 Sulfur ratio, both at room temperature and after annealing at 500 K, exhibited a polycrystalline nature with a tetragonal structure and a predominant orientation along the (112) plane, indicating an enhanced de

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Publication Date
Mon Jan 01 2018
Journal Name
Journal Of The College Of Languages (jcl)
Analysis of the symbolic images in the work of Mexican theater of: "all cats are brown," the writer Carlos Fuentes and "Palinuro on the stairs," the writer Fernando del Paso
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 This article briefly analyzing contemporary works appeared in theater writer from Latin America, which comes within the theme of "power." Latin American Literature, such as two-way extremely clear: the vanguard of social and attention, have arrived at certain moments to some extent be regarded as a two-way rival. That desire to participate in the revolution of expression and artistic significance, has appeared evident in the literature of Latin America in the late nineteenth century and ended in the third decade of the twentieth century. The writers that stage would prefer not to serve the objectives of the revolution of Arts own but the objectives of social and political revolution that stimulate the world. These acts were issued

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Publication Date
Mon Jan 01 2024
Journal Name
Computers, Materials &amp; Continua
Improving Video Watermarking through Galois Field &lt;i&gt;GF&lt;/i&gt;(2&lt;sup&gt;4&lt;/sup&gt;) Multiplication Tables with Diverse Irreducible Polynomials and Adaptive Techniques
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Publication Date
Fri Dec 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
The role of Job description and Perceived organizational support to achieving An Excellent Job performance - An Exploratory study of the views of a sample of department heads at Sulaimaniyah University.
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     This research Sought to identify the correlation relationships and the impact of each of the job description and perceived organizational support, Excellent Job performance of the heads of academic departments in the faculties of the University of Sulaymaniyah Iraqi Kurdistan Region, totaling (89) as President, and to achieve this was Default plan includes research variables as well as the formulation of a number of preparation fundamental assumptions, and researchers used a questionnaire for this purpose as a tool head of the collection of data and information, as it was distributed (80) copies, and the number of retrieved them (76) a copy of a valid statistical analysis, as well as conducting personal i

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Publication Date
Wed Feb 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
The development of ethics management system to enhance the social responsibility of government institutions in Iraqi society An analytical study on a sample of top leadership and the presidency of
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Abstract

The objective of this research is to identify the analysis of the ethics of the administration in the development of the social responsibility of one government organizations, and to achieve the objectives of the research was the use of a questionnaire developed for the purpose of data collection and distribution to the research sample, was chosen as a total sample population (50) individuals were relying on statistical package to do a statistical analysis for this research, user, ANSI (SPSS) simple regression analysis, standard deviation, Pearson correlation coefficient.

Research findings show the role of social responsibility in achieving the university's strategy,

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Publication Date
Sun Jun 16 2019
Journal Name
Al–bahith Al–a'alami
The Exposition of University Youth to Television Advertising and its Reflection on the Development of their Cognitive Abilities A survey of students (College of Media / University of Baghdad) as ample
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This research is aimed at identifying the communicative habits and the impact of the content on the communicative process, especially the youth audience, which is one of the most important categories to which the advertisement is directed, as young people face life with passion and aspiration that make then responsive to all the influences used by the media in designing advertisements which use all the techniques and methocls to attract young people, such as relying on drama , artistic tricks, musical phrases and advertising slogans that respond to the desire of young people in entertainment.
The research aims to identify the reflection of television advertising and its impact on the development of the cognitive abilities of universi

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Publication Date
Tue Dec 23 2025
Journal Name
Journal Of Physical Education
Analyzing the Reality of the Human and Financial Capabilities of Managing Basketball Sports Tournaments in Iraq from the Central Iraqi Federation, sub-federations, Referees, Premier League teams’ Point of View
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Publication Date
Tue Aug 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
Post a reflection on the capabilities of personnel programs A prospective study of a sample of the views of the staff at the Ministry of Higher Education and Scientific Research
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            This research aims to know the role and impact of participation in the capabilities of human resources programs, and for the purpose of measuring it has been determined the dimensions of these two variables by relying on standards for this purpose, was chosen as the Ministry of Higher Education and Scientific Research / device supervision and scientific calendar as one of the important departments in the ministry and includes a large number of individuals at different organizational levels for the purpose of answering a questionnaire prepared for the purpose of measurement and access to the results and the achievement of the objectives of the research and which ha

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