Uniqueness of the solution to inverse scattering problem with backscattering data
Abstract
Let $q(x)$ be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data $A(-\beta,\beta,k)$ $\forall \beta\in S^2$, $\forall k>0,$ determine $q$ uniquely.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2010
- DOI:
- arXiv:
- arXiv:1007.2918
- Bibcode:
- 2010arXiv1007.2918R
- Keywords:
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- Mathematical Physics;
- 35P25;
- 35R30;
- 81Q05