Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
This work deals with the interior transmission eigenvalue problem: y 00 + k 2η (r) y = 0 with boundary conditions y (0) = 0 = y 0 (1) sin k k − y (1) cos k, where the function η(r) is positive. We obtain the asymptotic distribution of non-real transmission eigenvalues under the suitable assumption o...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2019.1.38 |
| Online Access: | http://acta.bibl.u-szeged.hu/62116 |
| LEADER | 01579nas a2200241 i 4500 | ||
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| 001 | acta62116 | ||
| 005 | 20210916104237.0 | ||
| 008 | 190927s2019 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.38 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Xu Xiao-Chuan | |
| 245 | 1 | 0 | |a Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem |h [elektronikus dokumentum] / |c Xu Xiao-Chuan |
| 260 | |c 2019 | ||
| 300 | |a 1-15 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a This work deals with the interior transmission eigenvalue problem: y 00 + k 2η (r) y = 0 with boundary conditions y (0) = 0 = y 0 (1) sin k k − y (1) cos k, where the function η(r) is positive. We obtain the asymptotic distribution of non-real transmission eigenvalues under the suitable assumption on the square of the index of refraction η(r). Moreover, we provide a uniqueness theorem for the case R 1 0 p η(r)dr > 1, by using all transmission eigenvalues (including their multiplicities) along with a partial information of η(r) on the subinterval. The relationship between the proportion of the needed transmission eigenvalues and the length of the subinterval on the given η(r) is also obtained. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Yang Chuan-Fu |e aut |
| 700 | 0 | 1 | |a Buterin Sergey A. |e aut |
| 700 | 0 | 1 | |a Yurko Vjacheslav A. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/62116/1/ejqtde_2019_038.pdf |z Dokumentum-elérés |