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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
Fri Apr 01 2022
Journal Name
Baghdad Science Journal
Collection, Storage and Protein Extraction Method of Gingival Crevicular Fluid for Proteomic Analysis
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Gingival crevicular fluid (GCF) may reflect the events associated with orthodontic tooth movement. Attempts have been conducted to identify biomarkers reflecting optimum orthodontic force, unwanted sequallea (i.e. root resorption) and accelerated tooth movement. The aim of the present study is to find out a standardized GCF collection, storage and total protein extraction method from apparently healthy gingival sites with orthodontics that is compatible with further high-throughput proteomics. Eighteen patients who required extractions of both maxillary first premolars were recruited in this study. These teeth were randomly assigned to either heavy (225g) or light force (25g), and their site specific GCF was collected at baseline and aft

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Publication Date
Tue Mar 24 2009
Journal Name
كتاب الوقائع /المؤتمر العلمي الثالث لكلية العلوم جامعة بغداد
Using antibiotics as mutagenic and curing agents for Prodigiosin Production By Serratia marcescens
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The effect of different antibiotics on growth pigment and plasmid curing of Serratia marcescens were studied, S. marcescens was cultured in media containing(16_500)µg/ml of antibiotics, curing mutants unable to produce prodigiosin and lost one plasmid band were obtained of of ampicillin, amoxillin, antibiotics concentrations (64 500) µg/ml metheprim, ultracloxam, azithromycin, cephalexin and erythromycin treated with (350 500) µg/ml of The mutant cells rose- light color and and refampicin revealed S.marcescens inhibited ciprodar and tetracyclin, lincomycin did not lost the plasmid band chlaforan

Publication Date
Wed Oct 07 2020
Journal Name
Indian Journal Of Forensic Medicine &amp; Toxicology
Test Some New Media for Cultivation of Gram Positive and Gram Negative Bacteria
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Publication Date
Wed Sep 30 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Adoption of the IFRS11 Financial Reporting Standard for Oil Service Contracts Costs and its Reflection on Measurement and Disclosure for National Oil Companies: بحث تطبيق في شركة نفط ميسان (ش . ع)
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The research seeks to clarify the problems related to the aspects of the financial and accounting process resulting from entering into contractual arrangements with a period of more than 20 years, among which is the research problem represented by the lack of clarity of the foundations and procedures for the recognition of oil costs and additional costs borne by foreign invested companies, which led to a weakening of their credibility and reflection. Negatively "on the measurement and accounting disclosure of financial reports prepared by oil companies, and the research aims to lay down sound procedures for measuring and classifying oil costs and additional costs paid to foreign companies, and recognizing and recording them in th

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Publication Date
Wed Feb 01 2023
Journal Name
Petroleum Science And Technology
Lithofacies and electrofacies models for Mishrif Formation in West Qurna oilfield, Southern Iraq by deterministic and stochastic methods (comparison and analyzing)
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Publication Date
Wed Jun 01 2016
Journal Name
Arabian Journal Of Geosciences
Geochemistry and petrology of Late Miocene-Pleistocene Dibdibba sandstone formation in south and central Iraq: implications for provenance and depositional setting
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Publication Date
Sat Apr 04 2020
Journal Name
Biochemical And Cellular Archives
SYNTHESIS, CHARACTERIZATION AND EVALUATION OF ANTIOXIDANT IN-VIVO AND IN-VITRO AND ANTIBACTERIAL FOR N-(3,4- DIHYDROXYBENZYLIDENE) ACETOHYDRAZONE-2-(BENZYLTHIO) BENZIMIDAZOLE
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Publication Date
Sat Dec 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
IR and Uv-Visible Study of the Thermal Stabilization for pvc Stabilized with ( Ho,Tb and Dy ) Stearate and Synergistic Mixtures
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Three  types of  metal  carboxylates  (Ho,Tb  and  Dy) stearates were LLSed  as thennal stabi lizers for PVC. Infrared spectra (1500-1900

 

)

 

cm.1

 

were   studied   for  PVC   films   stabilized   with   these   metal

 

carboxylatcs.  Two types of oxygen  were round -containing  products that were formed during  the thermal degradation  .On the other hand , the  presence &nb

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Publication Date
Sun Dec 01 2019
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Leverage and its impact on the profitability of Islamic banks in Iraq: Case Study: Islamic Cooperation Bank for Investment for the years (2015-2018)
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This research deals with leverage and its impact on the profitability of Islamic banks in Iraq for the years (2015-2018), the research variables of leverage have been analyzed and measured as an independent variable, profitability as a dependent variable, and the research is based on a main hypothesis: there is a moral relationship of statistical significance. Between leverage and profitability at The Islamic Cooperation Bank for the period (2015-2018). The results of the research showed that there are moral (exorcist) relationships between the ratio of leverage and profitability indicators, as the higher the leverage ratio, the higher the profitability indicators. In addition, The Islamic Cooperation Bank has adopted a conservative poli

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Publication Date
Thu Dec 13 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Contemporary Risk Factors of High Blood Pressure for Youth Group (18-24) Years for Students of Technical Institute in Baquba and University of Diyala
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Objective: This study aimed to investigate the relationship between high blood pressure and
different variables, such as (weight, smoking, amount of salt and water taken daily, and number
of hours of natural sleep per person) for young people.
Methodology: The study was conducted on students at the student community of the Technical
Institute in Baquba and the University of Diyala during the period from September 2015
until June 2016. The patients ranged in age from 18-24 years. All data were collected through
a questionnaire that included the main reasons and periodic follow-up of the disease.
Results: The total number of samples was 450.The results showed that 33% of all samples
have high blood pressure. The rel

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