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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 Sep 15 2020
Journal Name
Journal Of Baghdad College Of Dentistry
The impact of various staining substances and immersion time on the stainability of bonded sapphire brackets with three kinds of light cure orthodontic adhesives (An in-vitro study)
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Background: The need of the patient for a more reasonable esthetic orthodontic intervention has risen nowadays. Thus, orthodontists make use of esthetic orthodontic materials like brackets, ligature elastics, and arch wires. The esthetic brackets come as different forms of materials, such as ceramic brackets, which have their stainability remaining as the most important consideration for the patients and the orthodontists. This study aimed to compare the staining effects of various staining materials, including black tea, cigarette smoke and Pepsi, as well as the time effect on the color stability of sapphire ceramic brackets bonded with three kinds of light cure orthodontic adhesives: Transbond, Resilience and Enlight. Materials and Met

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Publication Date
Sun Jun 02 2013
Journal Name
Baghdad Science Journal
Comparison of The Effect of Aqueous Extracts of two Plants, Origanum Vulgare L. and Fenugreek Seeds with Anticancer Drug Cis-Platin on the Growth of Cancer Cell Lines
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This study involved the effect of the aqueous extracts of two plants, Origanum vulgare L.(1), Trigonella Foenum Graecum L. (Fenugreek) seeds(2) on the growth of cancer cell lines. Rhabdomyo sarcomas (RD) of human cell line and female intestine cells of Albino mice (L20B) in vitro System. These extracts were compared with the known anticancer drug Cis-platinum(Cis-Pt) as a positive control. The phytochemical tests were used for screening the active compounds in plants. The inhibition activity assay was used as a parameter of the cytotoxic effect of these extracts. Cancer cell lines were treated with four concentrations of Cis-platin, 31.25, 62.5, 125 and 250 ?g/ml for 72 hour exposure time. The same concentrations were used for the other ext

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Publication Date
Wed Jan 25 2012
Journal Name
Synthesis, Characterization And Antibacterial Activities Of Some Metal (ii) Heterocyclic Polyamine Complexes With 6,6'-(1,4-phenylenebis(azanediyl) Bis(2- Amino-6-methyl-6h-1,3-oxazin-4-ol) Ligand.
Synthesis, characterization and Antibacterial activities of some metal (II) heterocyclic polyamine complexes with 6,6'-(1,4-phenylenebis(azanediyl) bis(2-amino-6-methyl-6H-1,3-oxazin-4-ol) ligand.
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Publication Date
Thu Feb 07 2019
Journal Name
Journal Of The College Of Education For Women
Nominal Ellipsis in English & Arabic and its Influence on the Translation of the Meanings of Some Selected Qurànic Verses ( A Contrastive study ): هدى فالح حسن & جمانة شكيب محمد
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Nominal ellipsis is a linguistic phenomenon found in English and Arabic .It is
based on leaving out a part of a nominal construction or more for the sake of good
style , compactness and connectedness .This phenomenon is found in the language of
the Glorious Qur’an .The study in hand is concerned with how translators handle
translating Qur’anic verses which contain ellipted nouns , i ,e. , to what extent the
translated Qur’anic verses are close to the original ones , and to what extent their
translations serve understanding the meanings of the glorious verses while at the
same time maintaining their beauty in style. The study aims at shedding light on
nominal ellipsis in English and Arabic .The study undertak

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Publication Date
Mon Jun 01 2020
Journal Name
Journal Of The College Of Languages (jcl)
Literature and Novel: Classical novel in comparison to New Novel By Alain Robbe - Grillet: L'Art et le Roman: Le Roman Traditionnel Face au Nouveau Roman Alain Robe- Grillet
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Modern French novel has gained a distinctive status in the history of French literature during the first half of the twentieth century. This is due to many factors including the new literary descriptive objective style adopted by novelists like Alain Robbe – Grillet that  has long been regarded as the outstanding writer of the nouveau roman, as well as its major spokesman, a representative writer and a leading theoretician of the new novel that has broken the classical rules of the one hero and evolved, through questioning the relationship of man and the world and  reevaluating the limits of contemporary fiction , into  creating a new form of narrative.

Résumé:

En vue de résu

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Publication Date
Mon Dec 29 2025
Journal Name
Journal Of Advances In Medical And Biomedical Research
Genetic Insights Into Psoriasis Therapy: A Review of Polymorphisms in the Genes of Both TNF-α and the TNF Signaling Pathway on the Response to Anti-TNF-α
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Tumor necrosis factor-alpha (TNF-&alpha;) inhibitors are widely used as first-line treatments for moderate to severe plaque psoriasis, yet clinical responses vary considerably among patients despite their overall safety and efficacy. Genetic factors that influence the effectiveness of biologic therapies may contribute to this variability. This review, conducted between May and ...

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Publication Date
Wed May 01 2024
Journal Name
Journal Of Ecological Engineering
Explore the Impact of Surfactant Type on the Stability and Separation Efficiency of Oil–Water Emulsions of Real Wastewater from Al-Basrah Crude Oil Using Microbubble Air Flotation
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Among several separation processes, the air flotation distinguish as remarkably high potential separation process related to its high separation efficiency and throughput, energy-efficient, simple process, cost-effective, applicable to a wide range of oily wastewater and no by-products. The current study aimed to investigate the effect of the type and concentration of surfactant on the stability of oil-water emulsion and efficiency of the separation process. For this purpose, three types of surfactant where used (anionic SDS, mixed nonionic Span 85/Tween 80, and cationic CTAB). The results demonstrated that the Span 85/Tween 80 surfactant has the best stability, and it increases with the surfactant concentration augmentation. The removal ef

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Publication Date
Fri Feb 17 2023
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn: 2789-3219 )
The Association of Genetic Polymorphisms in Tumor Necrosis Factor-Alpha and Interleukins with Disease Severity or Response to Biological Therapy in Iraqi Rheumatoid Arthritis Patients: A Narrative Review
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Background: Tumor necrosis factor-alpha (TNF-α) and interleukins play important roles in the pathogenesis of rheumatoid arthritis (RA). Genetic research has been employed to find many of the missing connections between genetic risk variations and causal genetic components. Objective: The goal of this study is to look at the genetic variations of TNF-α and interleukins in Iraqi RA patients and see how they relate to disease severity or response to biological therapy. Method: Using specific keywords, the authors conducted a systematic and comprehensive search to identify relevant Iraqi studies examining the genetic variations of TNF-α and interleukins in Iraqi RA patients and how they relate to disease severity or response to biolo

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Publication Date
Sat Feb 07 2026
Journal Name
Asian Journal Of Pharmaceutical And Clinical Research
EVALUATING THE ANTI-INFLAMMATORY ACTIVITY OF ETHYL ACETATE AND METHANOL EXTRACTS OF LORANTHUS EUROPAEUS SEEDS IN RAT MODELS OF EXPERIMENTALLY INDUCED CHRONIC INFLAMMATION: A COMPARATIVE STUDY WITH DEXAMETHASONE
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Objective: Loranthus europaeus is a parasitic plant that lives on the branches of trees. The present study aimed to evaluate the anti-inflammatory effects of two different extracts on chronic inflammation induced by cotton pellets in rats. Methods: Loranthus seed was extracted by maceration with absolute methanol, in which dry Loranthus seeds were triturated in a mortar and macerated with 500 mL of methanol. After 24 h, the mixture was filtered, and the residue was re-extracted. The filtrates were combined and dried under vacuum. The mixture was mixed with 100 mL of distilled water and fractionated by petroleum ether and ethyl acetate using 70 mL × 3 times each. The organic fractions were dried, filtered, and evaporated to dryness.

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Publication Date
Sat Dec 31 2022
Journal Name
College Of Islamic Sciences
The significance of the saying of Al-Hafiz Ibn Hajar (has a vision) and the impact of this on the hadith, an applied study through the approximation of Refinement.
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Summary:

This research revolves around the probing of those whom Ibn Hajar said, "He has a vision", its significance, and the ruling on the connection and transmission to it.  The number of narrators reached fifty-one (51) narrators, among whom it was said, “He has a vision, whether it is definite or possibly. Some of them had a vision and companionship.”They are eleven (11) narrators, And among them were those who had visions and had no company, and their number was twenty-one (21) narrators, and among them were those who had no vision and nor company, and their number is nineteen (19) narrators.
As a result , whoever said about him “has a vision” and has companions, his hadith is connected, even i

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