Fabio Silva Botelho, PhD

Professor Adjunto, Departamento de Matemática

Universidade Federal de Santa Catarina - UFSC

Cálculo Variacional

Análise Funcional – Curso de Verão – 2019 – Notas de Aula e Listas de Exercícios

Análise Funcional Aplicada

Cálculo 1 – notas de aula

Cálculo 1 – 2018-2 - Listas de exercícios -Resultados - REC

Cálculo 2 – 2018-2- Listas de exercícios -Resultados da P-3

PAM – Listas de exercícios


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

Real Analysis and Applications, Springer 2018.

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

This work is dedicated in memoriam to David Bohm and Jiddu Krishnamurti

Pre-prints – Physics

1. arXiv:1812.04097 [pdf, ps, other]
A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context
Fabio Botelho
Comments: 15 pages, new results based on the Weinberg approach for relativistic mechanics
Subjects: Analysis of PDEs (math.AP)

2. A Variational Formulation for the Relativistic Klein-Gordon Equation

This is the correct , revised (submitted) version.

For some reason the Journal Ciência e Natura published a previous not revised version.

Pre-prints-Applied Mathematics

6. arXiv:1712.01595 [pdf, ps, other]
Global existence results and duality for non-linear models of plates and shells
Fabio Botelho
Comments: 28 pages, some parts of the text have been re-written, variational nature of the dual formulations retaken
Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

This work is dedicated in memoriam to Professor J.J. Telega

1. arXiv:1809.09575 [pdf, ps, other]
On central fields in the calculus of variations
Fabio Botelho
Comments: 12 pages, typos corrected
Subjects: Optimization and Control (math.OC)
2. arXiv:1804.06283 [pdf, ps, other]
On General Duality Principles for Non-Convex Variational Optimization with Applications to the Ginzburg-Landau System in Superconductivity
Fabio Botelho
Comments: 32 pages, typos corrected, other results added
Subjects: Optimization and Control (math.OC)
3. 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)
4. 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)
5. 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)
7. 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)