Resonances as Viscosity Limits for Exterior Dilation Analytic Potentials
英文摘要：
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 $\mathbb{C}^n$.
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