Abstract
To study the singular behaviour of hypersurfaces evolving by mean curvature flow, we use a standard technique in partial differential equations which consists of rescaling the solutions near a singularity. Such an approach is often related to the invariance of the equation with respect to certain transformations. Roughly speaking, one proves that suitable rescalings of the flow converge to a smooth non-trivial limit, which describes the asymptotic profile of the surface near a singularity.
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© 2010 Birkhäuser Verlag
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Ritoré, M., Sinestrari, C. (2010). Rescaling near a singularity. In: Mean Curvature Flow and Isoperimetric Inequalities. Advanced Courses in Mathematics — CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0213-6_8
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DOI: https://doi.org/10.1007/978-3-0346-0213-6_8
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0212-9
Online ISBN: 978-3-0346-0213-6
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