Approximating pseudopotentials and inverse scattering problems for perturbed nonlinear equations
✍ Scribed by Alexander A. Alexeyev
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 573 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We present a Newton‐type method for reconstructing planar sound‐soft or perfectly conducting cracks from far‐field measurements for one time‐harmonic scattering with plane wave incidence. Our approach arises from a method suggested by Kress and Rundell (__Inv. Probl.__ 2005; **21**(4):1
The theory of scattering is studied for the nonlinear wave equation iu+|u| r -1 u=0 in space dimensions n=3, 4. We give a new proof of the asymptotic completeness in the finite energy and conformal charge space for n=r=3. Our method is strong enough to deal with the subconformal power r < 1+4/(n -1)