Global properties of systems of differential equations

• Grant number: 17/00848-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: August 16, 2017
• End date: June 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Jorge Guillermo Hounie
• Grantee: Giuliano Angelo Zugliani
• Supervisor: Abdelhamid Meziani
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Florida International University (FIU), United States
• Associated to the scholarship: 14/23748-3 - Involutive systems and global solvability, BP.PD

Abstract

Our aim is to study first order partial differential operators defined on a compact manifold. We present relevant open problems concerned with the global solvability and global hypoellipticity of such operators.

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)

MEZIANI, ABDELHAMID; ZUGLIANI, GIULIANO. CLASS OF HYPOCOMPLEX STRUCTURES ON THE TWO-DIMENSIONAL TORUS. Proceedings of the American Mathematical Society, v. 147, n. 9, p. 3937-3946, SEP 2019. (17/00848-0)