论文标题
NLS在调制空间中的良好性
Wellposedness of NLS in Modulation Spaces
论文作者
论文摘要
我们证明了调制空间中立方一维非线性方程的新局部和全球适应性结果。局部结果是通过多线性插值获得的。使用保守的数量根据方程式的完整性，规律性的持久性以及分开有限的许多PICARD迭代的时间演变来证明全球结果。
We prove new local and global well-posedness results for the cubic one-dimensional nonlinear Schrödinger equation in modulation spaces. Local results are obtained via multilinear interpolation. Global results are proven using conserved quantities based on the complete integrability of the equation, persistence of regularity, and by separating off the time evolution of finitely many Picard iterates.
