论文标题
$ l^2 $ -solutions sobolev nls的规范
Sobolev norms of $L^2$-solutions to NLS
论文作者
论文摘要
我们将逆光谱理论应用于非线性Schrodinger方程的Sobolev溶液规范。对于初始datum $ q_0 \ in l^2（\ mathbb {r}）$和$ s \在[-1,0] $中，我们证明存在一个保守的数量，相当于$ h^s（\ mathbb {r}）$ - 解决方案的标准。
We apply inverse spectral theory to study Sobolev norms of solutions to the nonlinear Schrodinger equation. For initial datum $q_0\in L^2(\mathbb{R})$ and $s\in [-1,0]$, we prove that there exists a conserved quantity that is equivalent to $H^s(\mathbb{R})$-norm of the solution.
