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Anisotropic Curvature Flow of Immersed Networks

Anisotropic Curvature Flow of Immersed Networks

Abstract We consider motion by anisotropic curvature of a network of three curves immersed in the plane meeting at a triple junction and with the other ends fixed. We show existence, uniqueness and regularity of a maximal geometric solution and we prove that, if the maximal time is finite, then …