Distribution of poles for scattering on the real line
β Scribed by Maciej Zworski
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 712 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Continuity properties of the scattering transform associated to the SchrΓΆdinger operator on the real line are studied. Stability estimates of Lipschitz type are derived for the scattering and inverse scattering transforms.
For a class of compactly supported hypoelliptic perturbations of the Laplacian in R n , n 3 odd, we prove that an asymptotic on the number of the eigenvalues of the corresponding reference operator implies a similar asymptotic for the number of the scattering poles.
We obtain lower bounds on the number of scattering poles for a class of abstract compactly supported perturbations of the Laplacian in \(\mathbb{R}^{n}, n\) odd. They are applied to estimate the number of resonances for obstacle scattering and for hypoelliptic compactly supported perturbations of th