Higher order partial differential equations

• Grant number: 16/06209-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: January 01, 2017
• End date: June 20, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Lucas Catão de Freitas Ferreira
• Grantee: Vanderley Alves Ferreira Junior
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The proposal of this project is to study existence, uniqueness, symmetries, blow-up and stability/asymptotic behavior of solutions for partial differential equations (PDEs) of order higher than $2$ (higher-order PDEs, for short). We address equations that model large-amplitude oscillations in bridges (PDEs of hyperbolic type with damping) and elliptic and parabolic PDEs with the polyharmonic operator. We intend to develop methods and results for our problems that also could be extended for other classes of higher-order PDEs. (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)

FERREIRA, LUCAS C. F.; FERREIRA, JR., VANDERLEY A.. ON THE EVENTUAL LOCAL POSITIVITY FOR POLYHARMONIC HEAT EQUATIONS. Proceedings of the American Mathematical Society, v. 147, n. 10, p. 4329-4341, OCT 2019. (16/16104-8, 16/06209-7)