Complexity of parabolic systems
Abstract We first bound the codimension of an ancient mean curvature flow by the entropy. As a consequence, all blowups lie in a Euclidean subspace whose dimension is bounded by the entropy and dimension of the evolving submanifolds. This drastically reduces the complexity of the system. We use thi...
Main Authors: | Colding, Tobias H, Minicozzi, William P |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Springer Berlin Heidelberg
2021
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Online Access: | https://hdl.handle.net/1721.1/131938 |
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