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Gradient estimate for a nonlinear heat equation on Riemannian manifolds
- Source :
- Proceedings of the American Mathematical Society. 144:3635-3642
- Publication Year :
- 2016
- Publisher :
- American Mathematical Society (AMS), 2016.
-
Abstract
- In this paper, we derive a local Hamilton type gradient estimate for a nonlinear heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.
- Subjects :
- Harmonic coordinates
Applied Mathematics
General Mathematics
010102 general mathematics
Mathematical analysis
Riemannian geometry
Riemannian manifold
01 natural sciences
010101 applied mathematics
symbols.namesake
symbols
Mathematics::Differential Geometry
Information geometry
0101 mathematics
Exponential map (Riemannian geometry)
Gradient estimate
Ricci curvature
Scalar curvature
Mathematics
Subjects
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 144
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi...........a977a0436a10f0d3fc284e70560b989c
- Full Text :
- https://doi.org/10.1090/proc/12995