Cauchy problems describing pseudospherical surfaces

• Grant number: 23/13421-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2024
• End date: March 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Igor Leite Freire
• Grantee: Rodrigo da Silva Tito
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

We aim at studying recent concepts concerned with a special class of equations whose solutions determine pseudospherical surfaces. Our main focus is the study of Cauchy problems and the role of the initial datum on the corresponding surface defined by well-posed problems.