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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