This classic book provides a rigorous treatment of the Riesz–Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations.
Readers will benefit from:
| ISBN: | 9781611973150 |
| Publication date: | 30th November 2013 |
| Author: | David L Colton, Rainer Kress |
| Publisher: | Society for Industrial and Applied Mathematics an imprint of SIAM - Society for Industrial and Applied Mathematics |
| Format: | Paperback |
| Pagination: | 287 pages |
| Series: | Classics in Applied Mathematics |
| Genres: |
Applied mathematics |
This classic book provides a rigorous treatment of the Riesz–Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations.Readers will benefit from:A full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions.An in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves.An introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.
Integral Equation Methods in Scattering Theory features in the following genres: Applied mathematics
Paperback. Not Available.
Integral Equation Methods in Scattering Theory was written by David L Colton, Rainer Kress and published by Society for Industrial and Applied Mathematics an imprint of SIAM - Society for Industrial and Applied Mathematics
Integral Equation Methods in Scattering Theory has 287 pages
Yes it is part of Classics in Applied Mathematics series