Sharp global well-posedness for a higher order Schr\"odinger equation

Xavier Carvajal

Sharp global well-posedness for a higher order Schr\"odinger equation

偏微分方程分析 2007-05-23 v2 数学物理 math.MP

作者: Xavier Carvajal

摘要

Using the theory of almost conserved energies and the ``I-method'' developed by Colliander, Keel, Staffilani, Takaoka and Tao, we prove that the initial value problem for a higher order Schr\"odinger equation is globally well-posed in Sobolev spaces of order $s>1/4$ .

关键词

global well-posedness and scattering for nonlinear dispersive equations well-posedness schrödinger equation

引用

@article{arxiv.math/0504568,
  title  = {Sharp global well-posedness for a higher order Schr\"odinger equation},
  author = {Xavier Carvajal},
  journal= {arXiv preprint arXiv:math/0504568},
  year   = {2007}
}

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