Modified mean curvature flow of graphs in Riemannian manifolds
We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we prove the existence of smooth, entire, longtime solutions for this extrinsic flow with smooth initial data.
Authors
- Jocel Faustino Norberto de Oliveira
Institutions
- Universidade Federal do Ceará (BR)
Publication Details
- Journal
- Journal of Differential Equations
- Published
- 2026-07-23
- DOI
- https://doi.org/10.1016/j.jde.2026.114648
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco