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| Periodic Solutions of Schrodinger Flow from $S^3$ to $S^2$ |
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Citation： |
Hao YIN.Periodic Solutions of Schrodinger Flow from $S^3$ to $S^2$[J].Chinese Annals of Mathematics B,2006,27(4):401~410 |
| Page view： 1113
Net amount： 924 |
Authors： |
Hao YIN; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10321001). |
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| Abstract： |
This paper deals with the periodic solutions of Schrodinger
flow from $S^3$ to $S^2$. It is shown that the periodic solution
is related to the variation of some functional and there exist
$S^1$-invariant critical points to this functional. The proof
makes use of the Principle of Symmetric Criticality of Palais. |
Keywords： |
Schrodinger flow, Periodic solution, Variational method |
Classification： |
35Q55, 58E20 |
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