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12513, USA E-mail address: ypu@andrew.cmu.edu R. L. Pego: Department of Mathematical Sciences and Center for Nonlinear Analysis, p.73000 ,
73376 Le Bourget-du-Lac Cedex, France E-mail address: Denys.Dutykh@univ-smb.fr URL, Parc Valrose, F-06108 Nice cedex 2 ,