arXiv 0807.00952008-07-01math.FAmath-phmath.MP

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

Daniel Alpay, Jussi Behrndt

发表信息：: J. Funct. Anal. 257 (2009), 1666-1694

英文摘要：

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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