Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.02868 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916643002646528 |
|---|---|
| author | Canto, Javier Schiavone, Nico Michele Vega, Luis |
| author_facet | Canto, Javier Schiavone, Nico Michele Vega, Luis |
| contents | We investigate the fractional dispersion of solutions to the Helmholtz equation with periodic scattering data. We show that, under appropriate rescaling, the interaction between the different frequencies exhibits the same fluctuating behavior as for the Schrödinger equation. To achieve this, we first establish an asymptotic fractional uncertainty principle for solutions to the Helmholtz equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02868 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic fractional uncertainty principle for the Helmholtz equation with periodic scattering data Canto, Javier Schiavone, Nico Michele Vega, Luis Analysis of PDEs 81U30 (Primary) 35J05, 26A33 (Secondary) We investigate the fractional dispersion of solutions to the Helmholtz equation with periodic scattering data. We show that, under appropriate rescaling, the interaction between the different frequencies exhibits the same fluctuating behavior as for the Schrödinger equation. To achieve this, we first establish an asymptotic fractional uncertainty principle for solutions to the Helmholtz equation. |
| title | Asymptotic fractional uncertainty principle for the Helmholtz equation with periodic scattering data |
| topic | Analysis of PDEs 81U30 (Primary) 35J05, 26A33 (Secondary) |
| url | https://arxiv.org/abs/2503.02868 |