Semiclassical Defect Measures and Observability Estimate for Schrödinger Operators with Homogeneous Potentials of Order Zero
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2018
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915116404965376 |
|---|---|
| author | Mikami, Keita |
| author_facet | Mikami, Keita |
| contents | We study the asymptotic behavior as |x| \to \infty of Schrödinger operators with homogeneous potentials. For this purpose, we use methods from semiclassical analysis and investigate semiclassical defect mesures. We prove their localization in direction which we apply in order to obtain a necessary condition of observability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_10428 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Semiclassical Defect Measures and Observability Estimate for Schrödinger Operators with Homogeneous Potentials of Order Zero Mikami, Keita Analysis of PDEs Mathematical Physics Spectral Theory We study the asymptotic behavior as |x| \to \infty of Schrödinger operators with homogeneous potentials. For this purpose, we use methods from semiclassical analysis and investigate semiclassical defect mesures. We prove their localization in direction which we apply in order to obtain a necessary condition of observability. |
| title | Semiclassical Defect Measures and Observability Estimate for Schrödinger Operators with Homogeneous Potentials of Order Zero |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/1811.10428 |