On Duality Principles for Scalar and Vectorial Multi-well Variational Problems

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 17 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 425-446 from Springer

Abstract: Abstract The main focus of chapters 17 is the development of dual variational formulations for multi-well optimization problems in phase-transitions. The primal formulation may not have minimizers in the classical sense. In this case, the solution through the dual formulation is a weak limit of minimizing sequences for the original problem. This chapter was published in an article form by Nonlinear Analysis-Elsevier, reference [14].

Keywords: Duality Principle; Primal Variational Formulation; Injective Continuous Linear Operator; Multi-well Formulations; Canonical Duality Pairing (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_17

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DOI: 10.1007/978-3-319-06074-3_17

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