...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Differential and integral equations >Sharp asymptotics of the small solutions to the nonlinear Schrodinger equations of derivative type
【24h】

Sharp asymptotics of the small solutions to the nonlinear Schrodinger equations of derivative type

机译：导数型非线性Schrodinger方程的小解的尖锐渐近性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper studies the large-time behavior of small solutions to the nonlinear Schrodinger equations in one space dimension. Our relevant equations contain the gauge-invariant cubic nonlinearities of derivative type. Since the nonlinear term is the so-called long-range type, it is well-known that the nonlinear solution tends to the modified linear solution called the first asymptotic term. We present the higher-order asymptotic expansion of the nonlinear solution in weighted L~2 and L~∞ spaces. The result shows that the nonlinear interaction plays an explicit role in the higher-order asymptotic terms as well as in the phase modification. Our method relies on the nonlinear gauge transformations and the application of L~∞ decay estimate by Hayashi-Naumkin [13, 12] for estimating the nonlinear solution in Sobolev spaces.
机译：本文研究了一维空间中非线性Schrodinger方程的小解的长时间行为。我们的相关方程包含微分类型的规范不变三次非线性。由于非线性项是所谓的远距离类型，因此众所周知，非线性解趋向于称为第一渐近项的修正线性解。我们给出了加权L〜2和L〜∞空间中非线性解的高阶渐近展开。结果表明，非线性相互作用在高阶渐近项以及相位修正中起着明确的作用。我们的方法依靠非线性轨距变换和Hayashi-Naumkin [13，12]的L〜∞衰减估计来估计Sobolev空间中的非线性解。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号