2024-03-29T07:39:04Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/698912022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116A LEVEL SET CRYSTALLINE MEAN CURVATURE FLOW OF SURFACESGIGA, YOSHIKAZUPozar, Norbert410We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison principle, stability with respect to an approximation by regularized problems, and we also show the uniqueness and existence of a level set ow for bounded crystals.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69891info:doi/10.14943/84231https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69891/1/pre1087.pdfHokkaido University Preprint Series in Mathematics10871552016-01-15engpublisher