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Mixed and crack type spectral problems for second order strongly elliptic systems
by
M.S. Agranovich
MIEM, Moscow
We consider systems written in a divergent form in domains with Lipschitz
boundaries. In the case of mixed problems, the boundary is closed and the
spectral parameter is contained in boundary conditions on a part of the
boundary. In the case of crack type problems, the boundary is non-closed
and the spectral parameter is contained in transmission conditions. Without
the assumption that the corresponding operators are self-adjoint, we describe
some of their spectral properties in the simplest Sobolev spaces. Under
additional assumptions concerning the boundary, we consider the same operators in
more general spaces.
Date received: June 2, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # card-81.