A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.
Stability of shock wave structures in nonlinear elastic media.Mathematics and Mechanics of Solids, 24(11):3456–3471
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The Evans function as a lower bound on the spectral distance function
A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.