Functional Analysis and Applications Seminar 

06/06/2003, 14:00 — 15:00 — Room P3.10, Mathematics Building
Ana Moura Santos, Instituto Superior Técnico

Minimal Normalization of Wiener-Hopf Operators and Applications to Boundary Value Problems with Plane Discontinuities

A class of operators is studied which results from certain boundary and transmission problems in the half plane and in the two-part plane. For different orders of the boundary operators due to the upper and lower banks these are often not normally solvable problems. A classification of not normally solvable problems is given for both geometrical situations and we apply the method of minimal normalization in Bessel potential spaces in order to solve some of the boundary value problems. The talk is mainly inspired by a suggestion made by Prof. E. Meister and reflects some recent results of a joint work with N. Bernardino.