Boundary value problems and differential operators

In the lecture series  "Boundary Value Problems and Differential Operators" we provide an introduction to extension theory of symmetric operators in Hilbert spaces and its diverse applications to spectral problems for self-adjoint ordinary and partial differential operators. One of the main objectives is to discuss the technique of boundary triples and Weyl functions, and to illustrate these methods for Sturm-Liouville operators, Schrödinger operators, and Dirac operators.

The course consists of the following four lectures:

I. Symmetric and self-adjoint operators in Hilbert spaces

II. Boundary triples and applications to ordinary differential operators

III. Weyl functions, Krein's resolvent formula, and spectral analysis

IV. Quasi boundary triples and applications to partial differential operators

schedule:  Wednesday, March 12th, 14.00 - 16.00

    Thursday, March 13th, 10:00 - 12:00

    Wednesday, March 19th, 14:00 - 16:00

    Thursday, March 20th, 10:00 - 12:00

venue:  Politecnico di Milano, Via Bonardi 9, Dipartimento di Matematica, Ed. 14 "Nave", Aula Seminari III piano.