Prefer a chat interface with context about you and your work?
Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary . We establish a short-time existence theorem for this equation. The second part of the paper is devoted to the investigation of the Ricci flow on M. …