Analysis of the heat kernel of the Dirichlet-to-Neumann operator
Analysis of PDEs
2013-02-19 v1
Abstract
We prove Poisson upper bounds for the kernel of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a -boundary. We also prove Poisson bounds for for all in the right half-plane and for all its derivatives.
Keywords
Cite
@article{arxiv.1302.4199,
title = {Analysis of the heat kernel of the Dirichlet-to-Neumann operator},
author = {A. F. M. ter Elst and E. M. Ouhabaz},
journal= {arXiv preprint arXiv:1302.4199},
year = {2013}
}