# Convergence of fundamental solutions of linear parabolic equations under Cheeger–Gromov convergence

@article{Lu2010ConvergenceOF,
title={Convergence of fundamental solutions of linear parabolic equations under Cheeger–Gromov convergence},
author={Peng Lu},
journal={Mathematische Annalen},
year={2010},
volume={353},
pages={193-217}
}
• P. Lu
• Published 6 May 2010
• Mathematics
• Mathematische Annalen
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 L1-bound of the solutions. We also prove a local integral estimate of fundamental solutions.
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