2024-03-28T13:11:00Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689102022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Neumann problem for singular degenerate parabolic equationsGiga, YoshikazuSato, Motohiko410We prove a comparison theorem for viscosity solutions of singular degenerate parabolic equations with the Neumann boundary condition on a domain not necessarily convex. Our result applies to various level set equations including the Neumann problem for the mean curvature flow equations where every level set of solutions moves by its mean curvature and perpendicularly intersects the boundary of the domain.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68910info:doi/10.14943/83308https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68910/1/pre164.pdfHokkaido University Preprint Series in Mathematics1642121992-09engpublisher