A method for establishing upper bounds for singular perturbation problems |
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Authors: | Arkady Poliakovsky |
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Affiliation: | Department of Mathematics, Technion – I.I.T., 32000 Haifa, Israel |
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Abstract: | We present two applications of a new method for proving upper bounds for singular perturbation problems involving maps of bounded variation. The two problems are of first and second order, respectively. The first is a minimization problem, related to the question of optimal lifting for BV-maps with values in , for which we prove a Γ-convergence result. The second problem involves the Aviles–Giga functional, , for which we construct upper bounds via a sequence of functions whose limit has gradient in BV. To cite this article: A. Poliakovsky, C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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