论文标题
在圆环上本杰明·索方程的宽松操作员的光谱上
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus
论文作者
论文摘要
我们调查了福音的las oterator $ l_u $ $ l_u $在sobolev space $ h^{ - s}中的复杂潜力$ u $的光谱$ L_U $的数据。
We investigate the spectrum of the Lax operator $L_u$ of the Benjamin-Ono equation on the torus for complex valued potentials $u$ in the Sobolev space $H^{-s}(\mathbb{T},\mathbb{C})$, $0 \le s < 1/2$, with small imaginary part and prove analytic properties of the moment map, defined in terms of spectral data of $L_u$.