arXiv Open Access 2020

Asymptotic behavior of solutions of the Dirac system with an integrable potential

Łukasz Rzepnicki

Lihat Sumber

Abstrak

We consider the Dirac system on the interval $[0,1]$ with a spectral parameter $μ\in\mathbb{C}$ and a complex-valued potential with entries from $L_p[0,1]$, where $1\leq p <2$. We study the asymptotic behavior of its solutions in a stripe $|{\rm Im}\,μ|\le d$ for $μ\to \infty$. These results allows us to obtain sharp asymptotic formulas for eigenvalues and eigenfunctions of Sturm--Liouville operators associated with the aforementioned Dirac system.

Topik & Kata Kunci

math.SP

Penulis (1)

Łukasz Rzepnicki

Format Sitasi

APA MLA BibTeX

Rzepnicki, Ł. (2020). Asymptotic behavior of solutions of the Dirac system with an integrable potential. https://arxiv.org/abs/2011.06510

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓