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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
Thu Mar 05 2020
Journal Name
International Journal Of Psychosocial Rehabilitation
Special exercises with ropes, rubber bullets and their impact in some biomechanical variables in the 100m hurdles ran for juniors
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Publication Date
Fri Dec 15 2017
Journal Name
Journal Of The College Of Education For Women
The Effect of Using Authentic Materials on ESP Students’ Achievement at College of Physical Education and Sciences Sport for Women
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Authentic materials are the most important tools that the teacher could use in class in order to make teaching go smoothly and effectively in transmitting the necessary knowledge to all students. This research has investigated experimentally the effect of using authentic materials in teaching English as a foreign Language, because a number of studies point out that the use of authentic materials is regarded a useful means to motivate learners, arouse their interest and expose them to the real language they will face in real life situations.

It is hypothesis that there is no statistical significance difference between the experimental group who taught English as a foreign language by using the authentic materials with those  

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Publication Date
Tue Jan 01 2019
Journal Name
International Journal Of Agricultural And Statistical Sciences,
The comparison of several methods for calculating the degree of heritability and calculating the number of genes II. Yield components
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Publication Date
Fri Jun 20 2025
Journal Name
Journal Of Kufa For Chemical Sciences
Synthesis, Characterization, Antimicrobial Activity of New Schiff Base Complexes and Thermodynamic Study for Adsorption of Pt(IV) Complex Using Bentonite
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Publication Date
Sun Aug 03 2025
Journal Name
Journal Of Molecular Structure
Synergistic design of carbazole-bearing (D–π)₂-D–π–A architectures for dye-sensitized solar cells: Experimental and theoretical evaluations
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Publication Date
Tue Nov 29 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
A proposed form for the Combined Assurance report and its impact In achieving sustainable development in the Iraqi economic units
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Despite the importance of sustainable development and its dimensions in developing performance and supporting competitive advantage in economic units, there is a gap and lack of coordination between Combined Assurance  providers (management, internal audit, external audit) to report on sustainable development, and the research aims to propose a model for the Combined Assurance report to achieve development sustainable development in the Iraqi economic units, especially the Baghdad Municipality, enables assurance providers to coordinate efforts that lead to the achievement of Combined Assurance, The research found the proposed model for the Combined Assurance report in achieving sustainable development in the Iraqi economic units, es

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Publication Date
Fri May 01 2020
Journal Name
International Journal Of Psychosocial Rehabilitation
Special exercises with ropes, rubber bullets and their impact in some biomechanical variables in the 100m hurdles ran for juniors
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The rubber ropes exercises affected muscle groups, which in turn affects the corners of the conditions of the body before and over the barrier where affected the time passed. To change the angle of the approaching and payment impact on passing each times the barrier 1-5. That passed over the barrier 1and gate 5 impacts on the nature of the achievement, where time has become less. Find the values of cruise missiles and other phases and stages of pitch angle other categories which it enshrines stood as compelling rejection men's 110m hurdles. Find the value of the instant messaging distances between different barriers and stages. Studies by adding rubber sling barriers race categories, measurement of kinematic variables. Emphasis on the devel

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Publication Date
Fri Jan 01 2021
Journal Name
Aip Conference Proceedings
The study of water quality changes using GIS and remote sensing for Tigris River through Salah Al-Din province, Iraq
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The most significant water supply, which is the basis of agriculture, industry and human and wildlife needs, is the river. In order to determine its suitability for drinking purposes, this study aims to measure the Water Quality Index (WQI) of the Tigris River in the Salah Al-Din Province (center of Tikrit), north of Baghdad. For ten (9) physio-chemical parameters, namely turbidity, total suspended sediments, PH, electrical conductivity, total dissolved solids, alkalinity, chloride, nitrogen as nitrate, sulphate, and then transported for examination to the laboratory, water samples were collected from 13 locations along the Tigris river. Using the weighted arithmetic index method, the WQI was measured and found to be 105,87 in up-stream, wh

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Publication Date
Tue Nov 03 2020
Journal Name
Modern Sport
Effect of using flat hierarchical method on some aspects of muscular strength and straight serve skill for nascent tennis players
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The researcher focused on the importance of the physical abilities of the tennis game, as this game is one of the games that are characterized by its specificity in performance as this game is characterized by continuous movement and dealing with different elements, so this game requires the development of muscle strength, which plays an important role in Performance skills in the game of tennis. There are several methods to develop strength, including flat hierarchical technique, which is one of the most common forms of training in the development of muscle strength.     As for the research problem, the researcher found a method that has an effect on the development of force. Therefore, the researcher tried to diversify a

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Crossref (1)
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Publication Date
Sat Jan 24 2026
Journal Name
Journal Of Physical Education
The Effect of Special Exercises on Developing Strength Endurance and Kayaking Achievement Time (500m) individually for the Advanced Kayak Athletes
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