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arXiv · 2204.11675

On the uniqueness of nondegenerate blowups for the motion by curvature of networks

Alessandra Pluda·Marco Pozzetta
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Abstract

In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of planar networks. The proof follows ideas introduced in "Lojasiewicz-Simon inequalities for minimal networks: stability and convergence" for the study of stability properties of critical points of the length functional and it is based on the application of a Lojasiewicz-Simon gradient inequality.

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Alessandra Pluda, Marco Pozzetta. 2022-04-25. On the uniqueness of nondegenerate blowups for the motion by curvature of networks. https://arxiv.org/abs/2204.11675

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