Submitted:
16 November 2022
Posted:
18 November 2022
Read the latest preprint version here
Abstract
This article develops duality principles and related convex dual formulations suitable for the local and global optimization of non-convex primal formulations 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
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