Work

A Liouville-type theorem of a weighted semilinear parabolic equation on weighted manifolds with boundary

Year: 2025

Type: article

Abstract: We derive a Liouville-type theorem for positive ancient solutions to a weighted semilinear parabolic equation with a Dirichlet boundary condition on complete noncompact weighted manifolds with a compact boundary. This result can be viewed as an extension of Dung et al.'s work on a linear heat equation.

Source: Electronic Research Archive

DOI: 10.3934/era.2025102

Authors: Junsheng Gong, Jiancheng Liu

Institution: Northwest Normal University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,000

Funder: National Natural Science Foundation of China