论文标题
关于网络曲率运动的非排效器爆炸的独特性
On the uniqueness of nondegenerate blowups for the motion by curvature of networks
论文作者
论文摘要
在本说明中,我们证明了通过平面网络的曲率运动的非等级紧凑型爆炸的独特性。证明遵循“最小网络的Lojasiewicz-Simon不平等现象:稳定性和收敛性”中引入的思想,用于研究长度功能的临界点的稳定性特性,并且基于Lojasiewicz-Simon梯度不平等的应用。
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.