- November 14, 2008 , Friday - 15h15 (Room P
3.10):
Solvability of singular integro-differential equations
with multiple complex
shifts
Luís Castro
(Universidade de Aveiro, Portugal)
Abstract. We will consider initial value problems
for functional equations on the
half-axis that contain Hilbert transforms, derivatives and complex
shifts.
The class of problems is motivated by various applications, and will be
considered in both Bessel potential and Sobolev–Slobodeckij space
settings.
Results are Fredholm and invertibility criteria as well as explicit
analytical solution in cases where techniques for the constructive
factorization of symbol matrices are available. The talk is based on a
joint work with R. Duduchava and F.-O. Speck.
Seminars take place in Lisbon, I.S.T. -
Post Graduation Building
Webpage: http://www.math.ist.utl.pt/funcional
