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Problems of maximum and minimum: Isoperimetric inequality and applications

Grant number: 23/04927-3
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date: July 01, 2023
End date: June 30, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Olimpio Hiroshi Miyagaki
Grantee:Livia Ribeiro Marques Camilo
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

For the duration of this project, the intention is the study of a few of the maximum and minimum problems, enfasizing the study of Isoperimetric Inequality and its many applications.Said knowledge will be given as the infrastructure needed to the study of the Fourier series, once this is one of the most specific objects of study. Henceforth, it also will be studied an introduction to Sobolev spaces and optimization problems (more especifically, minimums) with the intention of globalizing the knowledge of the scholarship student, not only in the area of Mathematics, but also in general habilities for research and building of understanding.

News published in Agência FAPESP Newsletter about the scholarship:
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