## Communicated by E. Meister In this paper we consider the unique continuation property for Schrodinger operators and its application for proving the non-existence of positive eigenvalues (embedded in the continuous spectrum). We also use the estimate given by Jerison and Kenig9 to prove unique c
Unique continuation for Schrodinger operators with unbounded potentials
✍ Scribed by M Schechter; B Simon
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 391 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
We prove a strong unique continuation result for Schrödinger inequalities, i.e., we obtain that a flat \(u\) so that \(|\Delta u| \leqslant|V u|\) should be zero, provided that \(V\) is a radial Kato potential. It gives an extension of a result by E. B. Fabes, N. Garofalo and F. H. Lin [3] who got a
## Abstract We explore the connections between singular Weyl–Titchmarsh theory and the single and double commutation methods. In particular, we compute the singular Weyl function of the commuted operators in terms of the original operator. We apply the results to spherical Schrödinger operators (al