This book covers the latest problems of modern mathematical methods
for three-dimensional problems of diffraction by arbitrary
conducting screens. This comprehensive study provides an
introduction to methods of constructing generalized solutions,
elements of potential theory, and other underlying mathematical
tools. The problem settings, which turn out to be extremely
effective, differ significantly from the known approaches and are
based on the original concept of vector spaces 'produced' by
Maxwell equations. The formalism of pseudodifferential operators
enables to prove uniqueness theorems and the Fredholm property for
all problems studied. Readers will gain essential insight into the
state-of-the-art technique of investigating three-dimensional
problems for closed and unclosed screens based on systems of
pseudodifferential equations. A detailed treatment of the
properties of their kernels, in particular degenerated, is
included. Special attention is given to the study of smoothness of
generalized solutions and properties of traces.
General
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