@article{Gong2025, 
author = {Junsheng Gong and Jiancheng Liu},
title = {A Liouville-type theorem of a weighted semilinear parabolic equation on weighted manifolds with boundary},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {4},
pages = {2312-2324},
keywords = {Liouville-type theorem, ancient solution, semilinear parabolic equation, weighted manifold, gradient estimate},
url = {https://www.sciopen.com/article/10.3934/era.2025102},
doi = {10.3934/era.2025102},
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.}
}