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Abstract: In this paper we study the uniqueness of expanding self-similar solutions tothe network flow in a fixed topological class. We prove the result via theparabolic Allen-Cahn approximation proved in \cite{triodginz}.Moreover, we prove that any regular evolution of connected tree-like networkwith an initial condition that might be not regular is unique in a given atopological class.



Author: Mariel Sáez Trumper

Source: https://arxiv.org/







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