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.
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References
J.F. Annet, Superconductivity, Superfluids and Condensates. Oxford Master Series in Condensed Matter Physics, Oxford University Press, New YorK (2010)
P. Pedregal, Parametrized measures and variational principles, Progress in Nonlinear Differential Equations and Their Applications, vol. 30 (Birkhauser, Basel, 1997)
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Botelho, F. (2014). About Ginzburg–Landau-Type Equations: The Simpler Real Case. In: Functional Analysis and Applied Optimization in Banach Spaces. Springer, Cham. https://doi.org/10.1007/978-3-319-06074-3_14
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DOI: https://doi.org/10.1007/978-3-319-06074-3_14
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06073-6
Online ISBN: 978-3-319-06074-3
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