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Heat equation and the principle of not feeling the boundary

  • M. van den Berg (a1)

Synopsis

We prove a lower bound for the Dirichlet heat kernel pD(x,y;t), where x and y are a visible pair of points in an open set D in ℝm.

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References

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7Berg, M. van den. Gaussian bounds for the Dirichlet heat kernel. J. Fund. Anal, (to appear).
8Berg, M. van den. On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet laplacian. J. Fund. Anal. 71 (1987), 279293.

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