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.
