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 HΓΆlder continuous functions. These results are then use
Integral Equation Methods in Scattering Theory
β Scribed by Colton D., Kress R.
- Publisher
- SIAM
- Year
- 2013
- Tongue
- English
- Leaves
- 286
- Series
- Classics in Applied Mathematics 72
- Category
- Library
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β¦ Synopsis
This classic book provides a rigorous treatment of the RieszβFredholm 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 HΓΆlder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations.
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<STRONG>Methods in Nonlinear Integral Equations</STRONG> presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mount