Affiliation:
1. School of Education Sugiyama Jogakuen University and Graduate School Nagoya Aichi Japan
Abstract
AbstractWe investigate a parabolic Monge–Ampère type equation on compact almost Hermitian manifolds and derive a priori gradient and second‐order derivative estimates for solutions to this parabolic equation. These a priori estimates give us higher order estimates and a long‐time solution. Then, we can observe its behavior as .
Funder
Japan Society for the Promotion of Science
Reference18 articles.
1. The parabolic Monge–Ampère equation on compact almost Hermitian manifolds;Chu J.;J. Reine Angew. Math.,2020
2. C2,γ$C^{2,\gamma }$ regularities and estimates for nonlinear elliptic and parabolic equations in geometry;Chu J.;Calc. Var. Partial Differ. Equ.,2016
3. Fully non‐linear elliptic equations on compact almost Hermitian manifolds;Chu J.;Calc. Var.,2023
4. Hermitian connections and Dirac operators;Gauduchon P.;Boll. Un. Mat. Ital. B (7)
5. Elliptic Partial Differential Equations of Second Order