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一类带无界势的四阶色散非线性Schr¨odinger方程的驻波稳定性

Keywords: 非线性Schr¨odinger方程,四阶色散,无界势,整体解,驻波

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Abstract:

考虑一类带无界势的四阶色散非线性Schr¨odinger方程,在次临界情形,分析了其整体解的存在性,利用强制变分方法,获得了该类方程驻波解的存在性,并证明了其驻波是轨道稳定的.

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