• Corpus ID: 236987223

Heat kernel estimates on manifolds with ends with mixed boundary condition

  title={Heat kernel estimates on manifolds with ends with mixed boundary condition},
  author={Emily S. Dautenhahn and Laurent Saloff-Coste},
We obtain two-sided heat kernel estimates for Riemannian manifolds with ends with mixed boundary condition, provided that the heat kernels for the ends are well understood. These results extend previous results of Grigor’yan and Saloff-Coste by allowing for Dirichlet boundary condition. The proof requires the construction of a global harmonic function which is then used in the h-transform technique. 

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