Heat kernel estimates on manifolds with ends with mixed boundary condition

Autor:	Dautenhahn, Emily, Saloff-Coste, Laurent
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs Mathematics - Probability 58J35 60J65 (Primary) 58J65 31B05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We obtain two-sided heat kernel estimates for Riemannian manifolds with ends with mixed boundary condition, provided that the heat kernels for the ends are well understood. These results extend previous results of Grigor'yan and Saloff-Coste by allowing for Dirichlet boundary condition. The proof requires the construction of a global harmonic function which is then used in the $h$-transform technique. Comment: 33 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.05790 Zobrazit plný text záznamu View this record from Arxiv