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On the reflection principle for hypo-analytic structures

Grant number: 17/13450-5
Support Opportunities:Scholarships abroad - Research Internship - Post-doctor
Start date: September 01, 2017
End date: July 23, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Gustavo Hoepfner
Grantee:Luis Fernando Ragognette
Supervisor: Shiferaw Berhanu
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Institution abroad: Temple University, United States  
Associated to the scholarship:16/13620-5 - Differential operators of infinite order in the study of regularity and solvability of linear and nonlinear PDE's, BP.PD

Abstract

Questions about the extendability of CR maps have motivated several works in the last 40 years. One of the most successful techniques involves a generalization of Schwarz reflection principle. It is well known that the reflection principle does not hold in general for several complex variables, however, it holds under certain hypotheses of nondegeneracy. The goal of this project is to investigate what type of reflection principle can be proved under a hypothesis of hypo-analyticity. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
HOEPFNER, GUSTAVO; MEDRADO, RENAN D.; RAGOGNETTE, LUIS F.. The Baouendi-Treves approximation theorem for Gevrey classes and applications. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, v. 23, n. 1, p. 24-pg., . (17/13450-5, 17/03825-1, 19/04995-3, 16/13620-5)