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Baouendi-Treves approximation formula and applications

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Author(s):
Luís Márcio Salge
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Éder Rítis Aragão Costa; Rafael Fernando Barostichi; Sergio Luis Zani
Advisor: Éder Rítis Aragão Costa
Abstract

The main goal of this project is to study a locally integrable structures L and the Baouendi-Treves approximation formula, which states that every homogeneous solution of Lu = 0, can be, locally, approximated by polynomials in their first integrals. This result requires the rigorous study of some aspects of the involutive structures theory and of the distributions theory. The main references are [2], [4] e [1]. (AU)

FAPESP's process: 13/17838-7 - Bouendi-Treves Theorem and applications
Grantee:Luís Márcio Salge
Support Opportunities: Scholarships in Brazil - Master