Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems - Yu G. Smirnov
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Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems

By: Yu G. Smirnov (Editor), A. S. Ilyinsky (Editor)

Hardcover | 1 April 1998 | Edition Number 1

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Covers the latest problems for mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. The 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 concept of vector spaces "produced" by Maxwell equations. The formalism of pseudodifferential operators enables the proving of uniqueness theorems and the Fredholm property for all problems studied. Readers should gain 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.

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