Gradient estimate for the Poisson equation and the non-homogeneous heat equation on compact Riemannian manifolds
Abstract
In this short note, we study the gradient estimate of positive solutions to Poisson equation and the non-homogeneous heat equation in a compact Riemannian manifold (Mn,g). Our results extend the gradient estimate for positive harmonic functions and positive solutions to heat equations.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.