Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems
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A01=Yu. G. Smirnov
Author_Yu. G. Smirnov
boundary value problems
Category=PBKJ
Category=PDE
Category=PHK
Chebyshev Polynomials
Cylindrical Screens
Diffraction Problems
Dirichlet Problem
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eq_isMigrated=1
eq_isMigrated=2
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Finite Dimensional Space
Galerkin Method
Green's functions
Linear Algebraic Equations
mathematical physics
Maxwell equations
Neumann Problem
PDOs
potential theory
Pseudodifferential Equations
three-dimensional electromagnetic scattering
vector bundles
Product details
- ISBN 9789067642835
- Weight: 348g
- Dimensions: 156 x 234mm
- Publication Date: 01 Apr 1998
- Publisher: Brill
- Publication City/Country: NL
- Product Form: Hardback
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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.
A. S. Ilyinsky (Author) , Yu. G. Smirnov (Author) , Yu. V. Shestopalov (Edited by)
