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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Ucrânia
bachelor's at Matemática Pura from Donetsk National University (2006), master's at Matemática Pura from Donetsk National University (2007) and doctorate at análise da função from Institute of Applied Mathematics and Mechanics (2012). Has experience in Mathematics, focusing on Mathematics (Source: Lattes Curriculum)
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The main goal of this project is to use the theory of extensions of symmetric operators to investigate the properties and principal objects of some totally different models. The importance of this problem is due to applications of the theory of extensions to the problems that appear in many physical areas and specific physical models. (AU)
The objective of this project is to introduce the student to operator theory and spectral theory, culminating in the study of the application of these results to differential equations and operators that appear in quantum mechanics.The planned duration is 12 months. During this period the student will study 5 major topics.The first part will be devoted to the review of compact operators i…
This project is principally aimed to demonstrate efficiency of boundary triplets and the corresponding Weyl functions approach for the investigation of certain spectral characteristics of differential operators with point interactions. We also plan to apply boundary triplets approach for investigation of non-linear Schrodinger equation with periodic and non-periodic $\delta$-potential and…
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| 2 / 2 | Completed scholarships in Brazil |
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