A remark on the Schr\'odinger equation on Zoll manifolds
| Autor: | Nishiyama, Hisashi |
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| Rok vydání: | 2011 |
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| Druh dokumentu: | Working Paper |
| Popis: | On the one dimensional sphere, the support of the fundamental solution to the Schr$\rm \ddot o$dinger equation consists of finite points at the time $t\in 2\pi\Q$. The paper \cite{Ka} generalized this fact to compact symmetric spaces. In this paper, we consider similar results on Zoll manifolds. We study the singularity for a solution to the equation using a functional calculus of the self-adjoint operator with integer eigenvalues. |
| Databáze: | arXiv |
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