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.
Transverse instabilities of deep-water solitary waves.Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2071):2039–2061
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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.