Claudia Fernandes — Neckpinchhttps://neckpinch.com/authors/claudia-fernandes/New arXiv papers by Claudia Fernandes, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Mean curvature flow of graphs with asymptotic Dirichlet conditions in Cartan-Hadamard manifoldshttps://neckpinch.com/papers/2603.12548/arxiv:2603.12548Fri, 13 Mar 2026 00:00:00 GMTClaudia Fernandes, Jorge de Lira, Matheus Soares — A priori estimates for the mean curvature evolution of Killing graphs in Cartan-Hadamard manifolds with asymptotic Dirichlet conditions are established. As an application, the existence of the corresponding parabolic flow is proved, ensuring regularity of the obtained solutions through the construction of suitable barriers at points of the asymptotic boundary. Such a construction is made possible under an appropriate notion of convexity at infinity.Mean curvature flow