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MR1883537 (2002m:35187) 35Q53 (35C10 35P20 35P25 35Q51 37K15)
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek Inverse scattering solutions of the Hunter-Saxton equation. Appl. Anal. 78 (2001), no. 3-4, 255–269.
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