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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

Given a symmetric, semi-bounded, second-order elliptic differential operator A on a bounded domain with C1,1 boundary, we provide a Kreĭn-type formula for the resolvent difference between its Friedrichs extension and an arbitrary self-adjoint one.