On nonexistence and existence of positive global solutions to heat equation with a potential term on Riemannian manifolds

Autor: Gu, Qingsong, Sun, Yuhua, Xu, Fanheng
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We reinvestigate nonexistence and existence of global positive solutions to heat equation with a potential term on Riemannian manifolds. Especially, we give a very natural sharp condition only in terms of the volume of geodesic ball to obtain nonexistence results.
Comment: 25 pages
Databáze: arXiv