تقرير
Transmission eigenvalues for multipoint scatterers
| العنوان: | Transmission eigenvalues for multipoint scatterers |
|---|---|
| المؤلفون: | Grinevich, P. G., Novikov, R. G. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Analysis of PDEs, Mathematics - Spectral Theory, 35J10, 47A40, 47A75, 81U40 |
| الوصف: | We study the transmission eigenvalues for the multipoint scatterers of the Bethe-Peierls-Fermi-Zeldovich-Beresin-Faddeev type in dimensions $d=2$ and $d=3$. We show that for these scatterers: 1) each positive energy $E$ is a transmission eigenvalue (in the strong sense) of infinite multiplicity; 2) each complex $E$ is an interior transmission eigenvalue of infinite multiplicity. The case of dimension $d=1$ is also discussed. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2108.08361 |
| رقم الأكسشن: | edsarx.2108.08361 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |