Global properties of involutive systems on compact manifolds

• Grant number: 12/05355-9
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 11, 2013
• End date: August 10, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Adalberto Panobianco Bergamasco
• Grantee: Giuliano Angelo Zugliani
• Supervisor: Alberto Parmeggiani
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Università di Bologna, Italy

Abstract

The main objective is to obtain conditions for global solutions exist for a system of linear partial differential equations of first order defined in the product of a compact manifold by the circumference. (AU)

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)

BERGAMASCO, ADALBERTO PANOBIANCO; PARMEGGIANI, ALBERTO; ZANI, SERGIO LUIS; ZUGLIANI, GIULIANO ANGELO. Geometrical proofs for the global solvability of systems. Mathematische Nachrichten, v. 291, n. 16, p. 2367-2380, NOV 2018. (12/05355-9, 12/03168-7)

BERGAMASCO, ADALBERTO; PARMEGGIANI, ALBERTO; ZANI, SERGIO; ZUGLIANI, GIULIANO. Classes of globally solvable involutive systems. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, v. 8, n. 4, p. 551-583, DEC 2017. (12/05355-9, 12/03168-7)