Schroedinger operators on exterior domains with Robin boundary conditions: heat kernel estimates
Spectral Theory
2018-11-13 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study Schroedinger operators with Robin boundary conditions on exterior domains in . We prove sharp point-wise estimates for the associated semi-groups which show, in particular, how the boundary conditions affect the time decay of the heat kernel in dimensions one and two. Applications to spectral estimates are discussed as well.
Keywords
Cite
@article{arxiv.1604.02436,
title = {Schroedinger operators on exterior domains with Robin boundary conditions: heat kernel estimates},
author = {Hynek Kovarik and Delio Mugnolo},
journal= {arXiv preprint arXiv:1604.02436},
year = {2018}
}