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Санкт-Петербургский семинар по теории операторов и теории функций
16 апреля 2018 г. 17:30–19:00, г. Санкт-Петербург, ПОМИ, ауд. 311 (наб. р. Фонтанки, 27)
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Inverse resonance scattering for rotationally symmetric manifolds
Е. Л. Коротяев |
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| Эта страница: | 144 |
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Аннотация:
We consider the Laplacian on a rotationally symmetric manifolds M.
We assume that M is a cylindrical manifold with warped product.
We show that the Laplacian has infinite number of eigenvalues
for a specific rotation radius, and has not eigenvalues for another
specific rotation radius.
We describe the resonances. Moreover, we show that the resonances and
eigenvalues determine the rotation radius uniquely.
It is a joint result with Hiroshi Isozaki, Japan.
The talk will be in Russian.
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