A Liouville-type theorem of a weighted semilinear parabolic equation on weighted manifolds with boundary
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.
Authors
- Jian Ping Gong (ORCID: https://orcid.org/0000-0003-2228-2750)
- Jiancheng Liu (ORCID: https://orcid.org/0000-0002-7017-3172)
Institutions
- Northwest Normal University (CN)
Publication Details
- Journal
- Electronic Research Archive
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/era.2025102
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00