14/05/2004, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Ana Moura Santos, Instituto Superior Técnico, U.T. Lisboa
Regularity of Solutions to a Diffraction Problem with Oblique
Derivatives on a Strip
We consider a boundary-transmission problem for the Helmholtz
equation, in a Bessel potential space setting, which arises within
the context of wave diffraction theory. The boundary under
consideration consists of a strip, and certain conditions are
assumed on it in the form of oblique derivatives. Those are of
particular importance from the physical point of view in the
context of materials involving non-homogeneous impedances in the
boundary. The well-posedness of the problem is shown for a range of
non-critical regularity orders of the Bessel potential spaces,
which include the finite energy norm space. In addition, an
operator normalization method is applied to the critical orders
case.
