Abstract
A technique introduced by Kress and Päivärinta to establish differentiability of the solution to obstacle scattering problems with respect to the boundary is extended to the case of the impedance boundary condition. For acoustic scattering an alternative proof of a differentiability result due to Hettlich is provided, and in electromagnetic scattering a new differentiability result is proven.
| Original language | English |
|---|---|
| Pages (from-to) | 194-208 |
| Number of pages | 15 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 65 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 15 Apr 2005 |
| Externally published | Yes |
Keywords
- Acoustic scattering
- Electromagnetic scattering
- Far field pattern
- Fréchet derivative
- Helmholtz equation
- Impedance condition
- Inverse scattering
- Maxwell equations
- Obstacle scattering