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arXiv · 0804.3312

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

Andrea Posilicano·Luca Raimondi
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Abstract

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.

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Andrea Posilicano, Luca Raimondi. 2008-11-02. Krein's Resolvent Formula for Self-Adjoint Extensions of Symmetric Second Order Elliptic Differential Operators. https://doi.org/10.1088/1751-8113%2F42%2F1%2F015204

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