On duality principles for non-convex optimization with applications to superconductivity and some existence results for a model in non-linear elasticity
Analysis of PDEs
2021-01-29 v5 Optimization and Control
Abstract
This article develops duality principles applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory. In the second section, we present the general result for the case including a magnetic field and the respective magnetic potential in a local extremal context. Finally, in the last section we develop some global existence results for a model in elasticity.
Keywords
Cite
@article{arxiv.2008.00232,
title = {On duality principles for non-convex optimization with applications to superconductivity and some existence results for a model in non-linear elasticity},
author = {Fabio Silva Botelho},
journal= {arXiv preprint arXiv:2008.00232},
year = {2021}
}
Comments
55 pages, new results added