非凸流形上扩散过程的代数式收敛性

Rate of Algebraic Convergence for Diffusion Processes on Non-Convex Manifold

摘要: 本文研究带非凸边界的非紧流形上的反射扩散过程在范数下的代数式收敛性, 给出了若干过程代数式收敛的充分的和必要的判定条件.

Abstract: Algebraic convergence in -sense is studied for the reflecting diffusion processes on noncompact manifold with non-convex boundary. A series of sufficient and necessary conditions for the algebraic convergence are presented.