Seminar of differential equations will continue on June 12, 2019 at 11am in seminar room on the 1st floor.

prof. Stephen L. Clark (Missouri University of Science and Technology)

Krein's Formula and Sturm-Liouville Operators on a Compact Interval

Abstract:
Recalling parametrizations of self-adjoint extensions associated with a regular, symmetric, second-order differential expressions, we give a comprehensive accounting of all self-adjoint extensions of the minimal Sturm--Liouville operator in terms of Krein's formula for resolvent differences given Sturm--Liouville operators with Dirichlet boundary conditions at a and b as a convenient reference operator, and give a detailed description of the Krein extension of the minimal Sturm--Liouville operator.