| The Cauchy problem about Dirac-wave map from the 2-dimension Minkowski space to a complete Riemannian manifold |
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| 作者姓名： | Yan ZHANG School of Statistics and Mathematics Zhejiang Gongshang University Hangzhou China |
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| 作者单位： | Yan ZHANG School of Statistics and Mathematics，Zhejiang Gongshang University，Hangzhou 310018，China; Department of Physics，Zhejiang University，Hangzhou 310027，China |
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| 摘 要： | When a target manifold is complete with a bounded curvature, we prove that there exists a unique global solution which satisfies the Euler-lagrange equation of for the given Cauchy data.
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| 关 键 词： | nonlinear σ-model |
| 收稿时间： | 15 September 2005 |
| 修稿时间： | 23 January 2007 |
The Cauchy problem about Dirac-wave map from the 2-dimension Minkowski space to a complete Riemannian manifold |
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| Yan ZHANG School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou ,China,.The Cauchy problem about Dirac-wave map from the 2-dimension Minkowski space to a complete Riemannian manifold[J].Science in China(Mathematics),2007,50(6):859-874. |
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| Authors: | Yan Zhang |
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| Institution: | School of Statistics and Mathematics , Zhejiang Gongshang University, Hangzhou 310018, China;Department of Physics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | When a target manifold is complete with a bounded curvature, we prove that there exists a unique global solution which satisfies the Euler-lagrange equation of for the given Cauchy data. |
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| Keywords: | Dirac-wave map spin bundle harmonic map |
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