Abstract
In the previous chapters we have considered the geometric evolution of a hypersurface by its mean curvature. What we want to show now is that the geometric motion can be approximated by zero level sets of solutions to a suitable parabolic partial differential equation, thus reducing, in some sense, the geometric problem to a more standard one.
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© 2013 Scuola Normale Superiore Pisa
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Bellettini, G. (2013). One-dimensional analysis related to a reaction-diffusion equation. 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_15
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DOI: https://doi.org/10.1007/978-88-7642-429-8_15
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-428-1
Online ISBN: 978-88-7642-429-8
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