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

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

2008-04-21

arxiv.org/abs/0804.3312v3

Mathematics

Analysis of PDEs

Final version, to appear in J. Phys. A: Math. Theor

Scientific paper

10.1088/1751-8113/42/1/015204

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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