Annotation
A special vector functional space is defined for a weak formulation of the diffraction problem in a cone. For this space, a number of embedding theorems are proved. It is also shown that the diffraction problem is reduced to the Fredholm equation.
Received: 2008 September 15
Approved: 2009 July 10
PACS:
02.30.Sa Functional analysis
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
I.A. Balantsev, A.L. Delitsyn
Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Science News of the Faculty of Physics, Lomonosov Moscow State University
This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.