Seeley's extension and boundary value problems

• Grant number: 16/24598-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2017
• End date: January 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Severino Toscano Do Rego Melo
• Grantee: Paulo Akira Figuti Enabe
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The student's main goal will be to make a complete and detailed exposition, starting from basic facts, of Robert Seeley's "Extension of C^infty-functions (Proc. Amer. Math. Soc. 1964). This is a deep result, very useful in applications. It has been quoted at least 69 times in papers about boundary value problems. (AU)