Topologies for geometric flows and continuous dependence on parameters

Autor:	Lewis, Andrew D., Zhang, Yanlei
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We study time- and parameter-dependent ordinary differential equations in the geometric setting of vector fields and their flows. Various degrees of regularities in state are considered, including Lipschitz, finitely diferentiable, smooth, and holomorphic. A suitable topology for the space of flows is derived using geometric descriptions of suitable topologies for vector fields. A new kind of continuous dependence is proved, that of the fixed time local flow on the parameter in a general topological space. Comment: arXiv admin note: substantial text overlap with arXiv:2202.00741
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.12293 Zobrazit plný text záznamu View this record from Arxiv