2024-03-29T12:01:32Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689162022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Motion of a graph by nonsmooth weighted curvatureFukui, ToshihideGiga, Yoshikazu410Geometric evolutions of curves represented by graphs are studied when the interface energy is not necessarily smooth. The theory of nonlinear semigroups yields a unique global solution even if the initial curve is not necessarily admissible. Usual evolution law for the crystalline interface energy is justified.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68916info:doi/10.14943/83314https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68916/1/pre170.pdfHokkaido University Preprint Series in Mathematics1702111992-11engpublisher