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arXiv:0804.3312 [math.AP]AbstractReferencesReviewsResources

Krein's Resolvent Formula for Self-Adjoint Extensions of Symmetric Second Order Elliptic Differential Operators

Andrea Posilicano, Luca Raimondi

Published 2008-04-21, updated 2008-11-02Version 3

Given a symmetric, semi-bounded, second order elliptic differential operator on a bounded domain with $C^{1,1}$ boundary, we provide a Krein-type formula for the resolvent difference between its Friedrichs extension and an arbitrary self-adjoint one.

Comments: Final version, to appear in J. Phys. A: Math. Theor
Categories: math.AP, math-ph, math.MP
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