%0 Journal Article %T Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence %A Peng Lu %J Mathematics %D 2010 %I arXiv %X 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 $L^1$-bound of the solutions. We also prove a local integral estimate of fundamental solutions. %U http://arxiv.org/abs/1005.0871v1