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arXiv · 1302.4199

Analysis of the heat kernel of the Dirichlet-to-Neumann operator

A. F. M. ter Elst·E. M. Ouhabaz
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Abstract

We prove Poisson upper bounds for the kernel $K$ of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a $C^\infty$-boundary. We also prove Poisson bounds for $K_z$ for all $z$ in the right half-plane and for all its derivatives.

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A. F. M. ter Elst, E. M. Ouhabaz. 2013-02-18. Analysis of the heat kernel of the Dirichlet-to-Neumann operator. https://arxiv.org/abs/1302.4199

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