Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators
Functional Analysis
2012-05-22 v1 Mathematical Physics
math.MP
Abstract
The classical concept of -functions associated to symmetric and selfadjoint operators due to M.G. Krein and H. Langer is extended in such a way that the Dirichlet-to-Neumann map in the theory of elliptic differential equations can be interpreted as a generalized -function. For couplings of uniformly elliptic second order differential expression on bounded and unbounded domains explicit Krein type formulas for the difference of the resolvents and trace formulas in an -framework are obtained.
Cite
@article{arxiv.0807.0095,
title = {Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators},
author = {Daniel Alpay and Jussi Behrndt},
journal= {arXiv preprint arXiv:0807.0095},
year = {2012}
}