https://neckpinch.com/authors/ki-ahm-lee/New arXiv papers by Ki-Ahm Lee, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2310.02668/arxiv:2310.02668Wed, 04 Oct 2023 00:00:00 GMTKi-Ahm Lee, Taehun Lee — We consider a flow by powers of Gauss curvature under the obstruction that the flow cannot penetrate a prescribed region, so called an obstacle. For all dimensions and positive powers, we prove the optimal curvature bounds of solutions and all time existence with its long time behavior. We also prove the C¹ regularity of free boundaries under a uniform thickness assumption.Other curvature flowsGauss curvature flowFree boundary & capillaryLong-time existence & convergence