Unique continuation for Schrödinger operators and for higher powers of the Laplacian
✍ Scribed by Izabella Łaba
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 619 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
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 continuation for higher powers of the Laplace operator.
📜 SIMILAR VOLUMES
## Abstract The Bethe strip of width __m__ is the cartesian product \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B}\times \lbrace 1,\ldots ,m\rbrace$\end{document}, where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B
We prove several L p -uniqueness results for Schro dinger operators &L+V by means of the Feynman Kac formula. Using the (m, p)-capacity theory for general Markov semigroups, we show that the associated Feynman Kac semigroup is positive improving in the sense of (m, p)-capacity, improving the well kn
Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous component