About Ginzburg–Landau-Type Equations: The Simpler Real Case

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

Chapter Chapter 14 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 363-372 from Springer

Abstract: Abstract Chapters 14 is concerned with existence theory and the development of dual variational formulations for Ginzburg-Landau type equations. Since the primal formulations are non-convex, we use specific results for distance between two convex functions to obtain the dual approaches. Note that we obtain a convex dual formulation for the simpler real case. For such a formulation optimality conditions are also established.

Keywords: Ginzburg-Landau Type Equation; Dual Variational Formulation; Formulate Optimality Conditions; Primal Formulation; Existence Theory (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_14

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DOI: 10.1007/978-3-319-06074-3_14

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