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arXiv · 0807.0095

Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators

Daniel Alpay·Jussi Behrndt
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Abstract

The classical concept of $Q$-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 $Q$-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 $H^2$-framework are obtained.

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BibTeXRIS

Daniel Alpay, Jussi Behrndt. 2008-07-01. Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators. https://arxiv.org/abs/0807.0095

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