Singular set and curvature blow-up rate of the level set flow
Under certain conditions such as the 2-convexity, a singularity of the level set flow is of type I (in the sense that the rate of curvature blow-up is constrained before and after the singular time) if and only if the flow shrinks to either a round point or a curve near that singular point. Analytic...
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| Published in | Journal für die reine und angewandte Mathematik Vol. 2024; no. 807; pp. 1 - 29 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
De Gruyter
01.02.2024
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| Online Access | Get full text |
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| Summary: | Under certain conditions such as the 2-convexity, a singularity
of the level set flow is of type I (in the sense that the rate of
curvature blow-up is constrained before and after the singular time)
if and only if the flow shrinks to either a round point or a
curve near that singular point. Analytically speaking, the arrival
time is
near a critical point if and only if it satisfies
a Łojasiewicz inequality near the point. |
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| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2023-0083 |