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摘要
Exact solutions for the multidimensional Schrodinger map equation (SM for short) on hyperbolic 2-space H-2 cone are obtained. Consequently, we show the non-traveling wave solution on H-2 is a finite energy solution on the finite spacial domain. The question of whether a solution of SM can develop a finite time singularity on H-2 with smooth initial data is not clear. Our result show that blowup can really happen on this initial data. In addition, some exact global smooth solutions are constructed.
- 出版日期2013-3-28
- 单位北京工业大学
