Optimality conditions in calculus of variations in the non-smooth context

• Grant number: 14/24271-6
• Support Opportunities: Scholarships in Brazil - Master
• Start date: May 01, 2015
• End date: February 28, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Valeriano Antunes de Oliveira
• Grantee: Caroline de Arruda Signorini
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

The main objective in this project is the study of necessary and sufficient optimality conditions for calculus of variations problems. The problems will be treated from the basic formulation until the constrained case. Equality and inequality constraints involving temporal and state (and its derivative) variables will be considered. The study will be conduced in the non-smooth context, we will work with non-smooth extremals and lagrangians. The sufficient conditions to be analyzed are those involving convexity and generalized convexity. The question of the existence and regularity of solutions will be investigated. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SIGNORINI, Caroline de Arruda. Optimality conditions in calculus of variations in the non-smooth context. 2017. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.