Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$
Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$
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DOI：
10.1007/s40818-021-00111-4
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发表时间：
2019-12
期刊：
影响因子：
2.8
通讯作者：
Bjoern Bringmann;R. Killip;M. Vişan
中科院分区：
文献类型：
--
作者：
Bjoern Bringmann;R. Killip;M. Vişan
我们证明了五阶Korteweg-de Vries方程在实直线上的全局适定性。文[1]中的全局适定性在以前的通勤流法中已被证明。由于此方法对环境光几何体不敏感，因此它不能超过中演示的圆环的锐化阈值。为了证明我们的结果，我们引入了一种新的策略，将色散效应融入到交换流方法中。
We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in. Global well-posedness inwas shown previously in using the method of commuting flows. Since this method is insensitive to the ambient geometry, it cannot go beyond the sharpthreshold for the torus demonstrated in . To prove our result, we introduce a new strategy that integrates dispersive effects into the method of commuting flows.