Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence
Differential Geometry
2010-05-07 v1
Abstract
In this note we show the convergence of the fundamental solutions of the parabolic equations assuming the Cheeger-Gromov convergence of the underlying manifolds and the uniform -bound of the solutions. We also prove a local integral estimate of fundamental solutions.
Keywords
Cite
@article{arxiv.1005.0871,
title = {Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence},
author = {Peng Lu},
journal= {arXiv preprint arXiv:1005.0871},
year = {2010}
}
Comments
19 pages.