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Comparison between barriers and a generalized evolution

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Part of the book series: Publications of the Scuola Normale Superiore ((LNSNS,volume 12))

Abstract

Recalling that the family F consists of smooth compact local in time mean curvature flows (see Definition 9.4), in this chapter we prove a result(1) which relates the evolutions M(E, F), M * (E, F) and M * (E, F) defined in Chapters 9 and 10 to a suitable abstract evolution law R, that we call comparison flow. As a consequence, we will obtain the relations between M(E, F), M * (E, F), M * (E, F) and the level set evolution for mean curvature flow.

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© 2013 Scuola Normale Superiore Pisa

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Bellettini, G. (2013). Comparison between barriers and a generalized evolution. In: Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations. Publications of the Scuola Normale Superiore, vol 12. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-429-8_14

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