A primal dual formulation through a proximal approach for non-convex variational optimization

Fabio Silva Botelho

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arXiv · 2103.01855

A primal dual formulation through a proximal approach for non-convex variational optimization

Fabio Silva Botelho

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Abstract

This article develops a primal dual formulation for a primal proximal approach suitable for a large class of non-convex models in the calculus of variations. The results are established through standard tools of functional analysis, convex analysis and duality theory and are applied to a Ginzburg-Landau type model. Finally, in the last two sections, we present concerning optimal conditions and another related duality principle for the model in question.

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BibTeX RIS

Fabio Silva Botelho. 2021-03-02. A primal dual formulation through a proximal approach for non-convex variational optimization. https://arxiv.org/abs/2103.01855

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