Fabio Silva Botelho, PhD

Professor Adjunto, Departamento de Matemática

Universidade Federal de Santa Catarina - UFSC



Cálculo Variacional


Análise Funcional Aplicada


Cálculo 1 – notas de aula


Cálculo 1 – 2018-2 - Listas de exercícios


Cálculo 2 - 2018-2


PAM – Listas de exercícios


Livros:

Functional Analysis and Applied Optimization in Banach Spaces, Springer 2014.

Real Analysis and Applications, Springer, to be published in 2018.


A Classical Description of Variational Quantum Mechanics and Related Models, Nova Science Publishing, 2017.


Pre-prints


1. arXiv:1804.06283 [pdf, ps, other]
A General Duality Principle for Non-Convex Variational Optimization
Fabio Botelho
Comments: 7 pages, typos corrected
Subjects: Optimization and Control (math.OC)
2. arXiv:1712.04809 [pdf, ps, other]
A duality principle for a semi-linear model in micro-magnetism
Fabio Botelho
Comments: 7 pages
Subjects: Optimization and Control (math.OC)
3. arXiv:1712.03552 [pdf, ps, other]
On the numerical solution of non-linear first order ordinary differential equation systems
Fabio Botelho
Comments: 9 pages
Subjects: Numerical Analysis (math.NA)
4. arXiv:1712.02701 [pdf, ps, other]
A duality principle for non-linear elasticity
Fabio Botelho
Comments: 10 pages, typos and erros corrected
Subjects: Optimization and Control (math.OC)
5. arXiv:1712.01595 [pdf, ps, other]
Global existence results and duality for non-linear models of plates and shells
Fabio Botelho
Comments: 24 pages
Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)
6. arXiv:1712.01031 [pdf, ps, other]
On duality principles for non-convex variational models applied to a Ginzburg-Landau type equation
Fabio Botelho
Comments: 14 pages, more typos corrected
Subjects: Optimization and Control (math.OC)