Resonances as Viscosity Limits for Exterior Dilation Analytic Potentials
Resonances as Viscosity Limits for Exterior Dilation Analytic Potentials
复制标题
共振作为外膨胀分析势的粘度极限
DOI：
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发表时间：
2020
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影响因子：
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通讯作者：
Haoren Xiong
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作者：
Haoren Xiong
对于外伸缩解析势V，我们用复标度法证明了在真实的轴的圆锥邻域内，$-Delta + V $的共振是$-Delta + V-i~x~2 $的本征值的极限 o 0 +$，如果$V $可以从$mathbb {R}^n $解析扩张到$mathbb {C}^n $中的截锥。
For exterior dilation analytic potential, $V$, we use the method of complex scaling to show that the resonances of $ - Delta + V $, in a conic neighbourhood of the real axis, are limits of eigenvalues of $ - Delta + V - i epsilon x^2 $ as $ epsilon o 0+ $, if $V$ can be analytically extended from $mathbb{R}^n$ to a truncated cone in $mathbb{C}^n$.