Qualitative properties of PDE' and Several Complex Variables

• Grant number: 17/03825-1
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2017
• End date: April 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gustavo Hoepfner
• Grantee: Gustavo Hoepfner
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated researchers: Andrew Seth Raich ; David Jornet Casanova ; Irina Mitrea ; Marius Mitrea

Abstract

The goal of this research project is to continue the investigation of the project under the framework of the program "Auxílio à Pesquisa" 2014/22054-8, to study qualitative properties of partial differential equations, as well its connexions with Geometric Measure Theory, Harmonic Analysis and Several Complex Variables. (AU)

Scientific publications

(4)

(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; RAICH, ANDREW. Microglobal regularity and the global wavefront set. MATHEMATISCHE ZEITSCHRIFT, v. 291, n. 3-4, p. 971-998, APR 2019. (18/02663-0, 17/06993-2, 17/03825-1)

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., 2022-01-01. (17/13450-5, 17/03825-1, 19/04995-3, 16/13620-5)

HOEPFNER, G.; MEDRADO, R.. The FBI transforms and their use in microlocal analysis. JOURNAL OF FUNCTIONAL ANALYSIS, v. 275, n. 5, p. 1208-1258, SEP 1 2018. (17/06993-2, 17/03825-1)

HOEPFNER, G.; MEDRADO, R.. MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v. 19, n. 4, p. 1185-1209, JUL 2020. (17/06993-2, 17/03825-1)