论文标题
单位磁盘上立方分数NLS的全球适应性
Global well-posedness for the cubic fractional NLS on the unit disk
论文作者
论文摘要
在本文中，我们证明了单位磁盘上具有分数拉普拉斯式的立方非线性schrödinger方程，对于在能量空间以下的某些径向初始数据方面，全球范围都有良好的范围。通过在分数非线性schrödinger方程设置中扩展i方法来证明结果。
In this paper, we prove that the cubic nonlinear Schrödinger equation with the fractional Laplacian on the unit disk is globally well-posed for certain radial initial data below the energy space. The result is proved by extending the I-method in the fractional nonlinear Schrödinger equation setting.
