Preprint
Article
A Duality Principle and a Related Convex Dual Formulation Suitable for Local Non-Convex Variational Optimization
This version is not peer-reviewed.
Submitted:
21 October 2022
Posted:
24 October 2022
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Abstract
This article develops a duality principle and a related convex dual formulation suitable for the local optimization of a non-convex primal formulation for a large class of models in physics and engineering. The results are based on standard tools of functional analysis, calculus of variations and duality theory. In particular, we develop applications to a Ginzburg-Landau type equation.
Keywords:
Convex dual variational formulation
; duality principle for non-convex local primal optimization
; Ginzburg-Landau type equation
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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