An Ambarzumian type theorem on graphs with odd cycles
UDC 517.9 We consider an inverse problem for Schrödinger operators on a connected equilateral graph $G$ with standard matching conditions.  The graph $G$ consists of at least two odd cycles glued together at a common vertex.  We prove an Ambarzumia...
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| Дата: | 2023 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6734 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9
We consider an inverse problem for Schrödinger operators on a connected equilateral graph $G$ with standard matching conditions.  The graph $G$ consists of at least two odd cycles glued together at a common vertex.  We prove an Ambarzumian-type result, i.e., if a specific part of the spectrum is the same as in the case of zero potential, then the potential must be equal to zero. |
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| DOI: | 10.37863/umzh.v74i12.6734 |