Submitted:
20 October 2022
Posted:
20 October 2022
Read the latest preprint version here
Abstract
This article develops a duality principle and a related convex dual formulation suitable for the global 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 global optimization
; Ginzburg-Landau type equation
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