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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
Mon Jun 01 2015
Journal Name
Journal Of The College Of Languages (jcl)
Das literarische Bild und die sprachliche Struktur der Sprichwörter bei der gegenseitigen Übersetzung im Deutschen und Arabischen The literary image in the translation of the German and Arabic proverbs
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Vorwort:

                              Die Übersetzung gilt in der Vergangenheit als Brücke zwischen  verschiedenen Gesellschaften. Sie spielt eine große Rolle im Bereich Kulturaustausch der Länder. Die Araber haben das früh betrachtet, und die Übersetzung als Wissenschaft wird eine der wichtigsten Lehren. Viele griechische Wissenschaften waren durch Übersetzung in den arabischen Ländern bekannt.

In dieser Forschung findet man einen Überblick über die Wichtigkeit der Sprichwörterübersetzung und welche Rolle spielt diese Übersetzung im Z

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Publication Date
Sun Mar 01 2020
Journal Name
Fisheries &amp; Aquatic Life
Directional fluctuating asymmetry in certain morphological characters as a pollution indicator: Tigris catfish (<i>Silurus triostegus</i>) collected from the Euphrates, Tigris, and Shatt al-Arab Rivers in Iraq
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Abstract<p>The relationship between pollution levels in river sediment and fluctuating asymmetry of resident silurid fish species, <italic>Silurus triostegus</italic> Heckel, was assessed. Eight bilateral body proportions were analyzed in 1,500 fish from eight river locations. Sediment pollution was measured based on the analysis of heavy metals (Cd, Cr, Cu, Ni, Pb and Zn) and organochlorine pesticides (DDT, DDD, DDE, chlordane, dieldrin, and lindane). The mean quotient approach (mERMq) was used to characterize sediment toxicity, which ranged from low to moderate levels for heavy metals and from low to severe for organochlorides. Variation was noted in the measurements of fish body mor</p> ... Show More
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Publication Date
Sun Oct 01 2017
Journal Name
Journal Of Educational And Psychological Researches
The effect of using active learning model in the achievement of fourth -grade material in the de partment of physics teaching aids students and the development then critical thinking
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Goal  of  research  is  to  investigate  the  impact  of the  use  of  effective  learning  model in the  collection  of  the  fourth  grade  students/Department of  physics in the material  educational methods  and the  development  of  critical thinking  .to teach  this goal  has  been  formulated  hypothesis cefereeten zero  subsidiary  of the second hypothesis  .To  investigate  the  research  hypothesis  were  selected  sample  of  fourth-grade  students of the  department  of physics at the univers

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Publication Date
Thu Feb 24 2022
Journal Name
Journal Of Educational And Psychological Researches
Analytical Study of the Content of Social and National Studies Textbooks of the Middle Stage in Kingdom of Saudi Arabia in the Light of the Values of Social Peace
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This study aimed to reveal the extent to which the values of social peace are included in the content of social and national studies textbooks of the middle stage in kingdom of Saudi Arabia. To achieve this goal, the researcher used the descriptive analytical approach. The study sample consisted of all developed social and national studies textbooks of the middle stage in kingdom of Saudi Arabia in first and second semester of student books in edition of 1439-1440. The study tool was the analysis card. The study reached the following results: 1-The content of social and national studies textbooks of the middle stage in kingdom of Saudi Arabia as a whole included (38) social peace values of total (40) values, corresponding to the inclusio

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Publication Date
Mon Jan 01 2024
Journal Name
Journal Of Applied Pharmaceutical Science
The role of angiotensin converting enzyme (insertion)/(deletion) and angiotensin II type 1 receptor (A1166C) gene polymorphisms in antiproteinuric effect of ACE inhibitors in type 2 diabetic Iraqi patients
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The angiotensin converting enzyme (ACE) I\D gene polymorphism influences the blood ACE enzyme activity. Renoprotective effect of ACE inhibitors (ACEIs) varies among patients due to genetic variation, particularly in Renin-Angiotensin-Aldosterone System genes. This study investigates the genetic variations of ACE I\D and AGT1RA1166C gene polymorphisms in the antiproteinuric effect of ACEI therapy in type 2 diabetes mellitus (T2DM) patients. This is a cross-sectional study that included 76 T2DM patients who are ACEI users, divided into two groups: T2DM without diabetic kidney disease (DKD) included 31 patients, and T2DM with DKD included 45 patients. Urine samples were taken for measurement of urine albumin and creatinine, then calcul

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Publication Date
Thu Jul 30 2020
Journal Name
Biochemical And Cellular Archives
SYNTHESIS, SPECTROSCOPIC IDENTIFICATION AND ANTIMICROBIAL ACTIVITY OF MIXED LIGAND COMPLEXES OF NEW LIGAND [3-((4- ACETYL PHENYL)AMINO)-5,5-DIMETHYLCYCLOHEX-2-EN-1-ONE] (HL* ) WITH 3-AMINO PHENOL
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This work includes the synthesis and identification of ligand {3-((4-acetylphenyl)amino)-5,5-dimethylcyclohex2-en-1-one} (HL* ) by the treatment of 5,5-dimethylcyclohexane-1,3-dione with 4-aminoacetophenone under reflux. The ligand (HL* ) was identified via FTIR, Mass spectrum, elemental analysis (C.H.N.), 1H and 13C-NMR spectra, UV-Vis spectroscopy, TGA and melting point. The complexes were synthesized from ligand (HL* ) mixed with 3-aminophenol (A) and metal ion M(II), where M(II) = (Mn, Co, Ni, Cu, Zn and Cd) at alkaline medium to produce complexes of general formula [M(L* )(A)] with (1:1:1) molar ratio. These complexes were detected via FT-IR spectra, UV-Vis spectroscopy as well as elemental analysis (A.A) and melting point, conductivit

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Publication Date
Thu Dec 29 2022
Journal Name
Journal Of The College Of Languages (jcl)
The morphological structure of nouns and verbs in the novel "Astonishment" by the novelist Aharon Applefield, Morphological study.: מבנה שמות עצם והפעלים ברומן תימהון לסופר אהרון אפלפלד עיון מורפולוגי
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This research sheds light on the morphological structure of nouns and verbs in the novel "ASTONISHMENT" by the novelist Aharon Applefield by analysing selected models from the novel in a morphological analysis in order to identify the most important morphological features of this structure according to a statistical analytical approach.

 The morphological structure is the main pillar of the linguistic structure of the literary text. Morphology is the science that studies the word, by which its structure and original letters are known, and the change that has occurred to it.  The aesthetics of the fictional text is reflected in this structure, through which the writer conveys his ideas and narrations to the reader.  The research

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Publication Date
Wed Sep 21 2022
Journal Name
Journal Of Planner And Development
The role of municipal councils in achieving and localizing sustainable development in the local community (The municipality of Al-Shafa area in Ajloun governorate in Jordan as a model)
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Ajloun Governorate is considered the smallest governorate in Jordan in terms of area, and its population density rises to 472.2 people/ km2 and is distributed among five municipalities. The Al-Shafa municipality is one of these municipalities. Al-Shafa is rich in its natural and human resources, and the first municipal council was established in it in 2001.

This study seeks to achieve the following general objective: inventory the natural and human resources that Al-Shafa enjoys, and highlight the role of Al-Shafa municipality in achieving and settling sustainable development for the local community. Certain content, which are: the comprehensive approach to geographical reality, the descriptive

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Publication Date
Tue Mar 31 2020
Journal Name
College Of Islamic Sciences
The benefits extracted from Surah of Prophet Mohammed ( peace upon him and on his family) from the beginning of Surah until the end of Ayah 15/ the 1st part
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The current study is concerned  over the  benefits  from  our Prophet  ' Surah , these   benefits  are seven  which are : the first : (  The  losing  , disappointment ,  weakness  in the affairs  of those disbelievers ,the second : showing the affairs of the believers   in respect to integrity ,  forgiveness   and rest, the third :  Indicating  the big difference  between the believers and disbelievers , each team has   his own characteristics that being distinguished from the other,  I have explained  the benefit   that the disbelievers are in a difficult

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Publication Date
Thu Jan 10 2019
Journal Name
Journal Of The College Of Education For Women
Tribal separation and its relation to the organization of the community from the point of view of tribal sheikhs Field study in the City of Baghdad Sadr City model))
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One of topics that occupied alarge area  in Iraqi  society  at the moment is the  issue( of tribal  separation and its  relation  to the organization of  the community ) so we see in the civilizations and heritage  of each community aset  of provisions and laws that take the form of status   customary or religious it is indicative of the great interest in Iraqi society in cotrolling the behavior of individuals to comply with values and social laws and become their behavior is consistent with the behavior of the total and adhere to the social values and be productive individuals within  the subject and this can only be  achieved  from the social co

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