中国科学技术大学学报 ›› 2014, Vol. 44 ›› Issue (2): 87-92.DOI: 10.3969/j.issn.0253-2778.2014.02.001
• 原创论文 • 下一篇
郑云瑞
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ZHENG Yunrui
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摘要： 在初始能量小于基态能量即‖u0‖H·≤‖W‖H·的条件下, 给出了关于几乎周期解的一种新的Morawetz估计, 然后排除三维径向能量临界的薛定谔方程的一个特殊极小爆破解的存在性.这里W为基态.
关键词: Morawetz估计, 几乎周期解, 薛定谔方程
Abstract: Under the condition ‖u0‖H·≤‖W‖H·, a new type of Morawetz estimate related to almost periodic solutions was given to exclude the existence of a special minimal blowup solutions for three dimentional energy-critical focusing NLS in the radial case, where W is the ground state.
Key words: Morawetz estimate, almost periodic solutions, Schrdinger equations
郑云瑞. 几乎周期解的Morawetz估计及对薛定谔方程的应用[J]. 中国科学技术大学学报, 2014, 44(2): 87-92.
ZHENG Yunrui. A Morawetz estimate related to almost periodic solutions and its application to Schrdinger equations[J]. Journal of University of Science and Technology of China, 2014, 44(2): 87-92.
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链接本文: http://just-cn.ustc.edu.cn/CN/10.3969/j.issn.0253-2778.2014.02.001
http://just-cn.ustc.edu.cn/CN/Y2014/V44/I2/87
