| 浅水波方程强解的唯一延拓性质 |
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| 引用本文： | 朱年花.浅水波方程强解的唯一延拓性质[J].吉首大学学报(自然科学版),2011,32(2):13-18. |
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| 作者姓名： | 朱年花 |
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| 作者单位： | （湘潭大学数学系，湖南 湘潭 411105） |
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| 基金项目： | 国家自然科学基金资助项目(1077108) |
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| 摘 要： | 考虑某些浅水波方程初值问题强解的唯一延拓性质,即证明了若在初始及以后某一时刻,强解的空间导数呈指数衰退,则它是零解.特别地,初值有紧支集的柯西问题的强解在以后的时间没有紧支集除非它是零解.
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| 关 键 词： | 浅水波方程 强解 唯一延拓性 |
Unique Continuation of Strong Solutions of Shallow Water Equations |
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| ZHU Nian-hua.Unique Continuation of Strong Solutions of Shallow Water Equations[J].Journal of Jishou University(Natural Science Edition),2011,32(2):13-18. |
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| Authors: | ZHU Nian-hua |
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| Institution: | (School of Mathematics and Computational Sciences,Xiangtan University,Xiangtan 411105,Hunan China) |
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| Abstract: | It is shown that strong solutions of shallow water equations,initially decaying exponentially together with its spacial derivative,must be identically equal to zero if it also decays exponentially at a later time.In particular,a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution. |
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| Keywords: | shallow water equation strong solution unique continuation |
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