Functional Analysis and Applications Seminar 

12/04/2013, 14:30 — 15:30 — Room P3.10, Mathematics Building
Frank Speck, Instituto Superior Técnico, UTL and CEAF

On the reduction of linear systems related to boundary value problems

The main topic of this work is the investigation of operator relations which appear during the reduction of linear systems, particularly in the study of boundary value problems. The first objective is to improve formulations like "equivalent reduction" by the help of operator relations. Then we describe how some of these operator relations can be employed to determine the regularity class and effective solution of boundary value problems. Furthermore operator relations are used to put boundary value problems into a correct space setting, e.g., by operator normalization.