Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems: Pseudodifferential operators in diffraction problems - Hardcover

Smirnov, Yu. G.

Hardcover

ISBN 10: 9067642835 ISBN 13: 9789067642835

Publisher: CRC Press, 1998

Synopsis

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.

About this title

About the Author

A. S. Ilyinsky (Author) , Yu. G. Smirnov (Author) , Yu. V. Shestopalov (Edited by)

Edition details

• Publisher: CRC Press
• Publication date: 1998
• Language: English
• ISBN 10: 9067642835
• ISBN 13: 9789067642835
• Binding: Hardcover
• Edition number: 1
• Number of pages: 126
• Editor: Ilyinsky A.S.