论文标题
共振作为外部扩张分析电位的粘度极限
Resonances as Viscosity Limits for Exterior Dilation Analytic Potentials
论文作者
论文摘要
对于外部扩张分析潜力，$ v $，我们使用复杂缩放的方法表明，在真实轴的圆锥附近，$ - δ+ v $的共鸣是$ - Δ+ v -iεx^2 $ as $ε\ to $ v $的特征值的限制，即在$ \ mathbb {c}^n $中。
For exterior dilation analytic potential, $V$, we use the method of complex scaling to show that the resonances of $ - Δ+ V $, in a conic neighbourhood of the real axis, are limits of eigenvalues of $ - Δ+ V - i εx^2 $ as $ ε\to 0+ $, if $V$ can be analytically extended from $\mathbb{R}^n$ to a truncated cone in $\mathbb{C}^n$.
