Asymptotics of the spectral data of perturbed Stark operators in the half-line with mixed boundary conditions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917135608971264 |
|---|---|
| author | Toloza, Julio H. Uribe, Alfredo |
| author_facet | Toloza, Julio H. Uribe, Alfredo |
| contents | We obtain sharp asymptotic formulas for the eigenvalues and norming constants of Sturm-Liouville operators associated with the differential expression \[ -\frac{d^2}{dx^2} + x + q(x), \quad x\in [0,\infty), \] together with the boundary condition $φ'(0) - bφ(0) =0$, $b\in\mathbb{R}$, where \[ q\in \left\{ p\in L^2_{\mathbb{R}}(\mathbb{R}_+,(1+x)^r dx) : p'\in L^2_{\mathbb{R}}(\mathbb{R}_+,(1+x)^r dx)\right\} \] with $r>1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotics of the spectral data of perturbed Stark operators in the half-line with mixed boundary conditions Toloza, Julio H. Uribe, Alfredo Spectral Theory Mathematical Physics 34E10, 34L15, 81Q05, 81Q10 We obtain sharp asymptotic formulas for the eigenvalues and norming constants of Sturm-Liouville operators associated with the differential expression \[ -\frac{d^2}{dx^2} + x + q(x), \quad x\in [0,\infty), \] together with the boundary condition $φ'(0) - bφ(0) =0$, $b\in\mathbb{R}$, where \[ q\in \left\{ p\in L^2_{\mathbb{R}}(\mathbb{R}_+,(1+x)^r dx) : p'\in L^2_{\mathbb{R}}(\mathbb{R}_+,(1+x)^r dx)\right\} \] with $r>1$. |
| title | Asymptotics of the spectral data of perturbed Stark operators in the half-line with mixed boundary conditions |
| topic | Spectral Theory Mathematical Physics 34E10, 34L15, 81Q05, 81Q10 |
| url | https://arxiv.org/abs/2505.15943 |