Krein's Resolvent Formula for Self-Adjoint Extensions of Symmetric Second Order Elliptic Differential Operators
Analysis of PDEs
2009-11-13 v3 Mathematical Physics
math.MP
Abstract
Given a symmetric, semi-bounded, second order elliptic differential operator on a bounded domain with boundary, we provide a Krein-type formula for the resolvent difference between its Friedrichs extension and an arbitrary self-adjoint one.
Keywords
Cite
@article{arxiv.0804.3312,
title = {Krein's Resolvent Formula for Self-Adjoint Extensions of Symmetric Second Order Elliptic Differential Operators},
author = {Andrea Posilicano and Luca Raimondi},
journal= {arXiv preprint arXiv:0804.3312},
year = {2009}
}
Comments
Final version, to appear in J. Phys. A: Math. Theor