Global solutions to a new integrable equation with peakons

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On the Blow-up Phenomena for the Degasperis–Procesi Equation (2010, methodology): “Mathematics Subject Classification (2000): 35G25, 35L05”
Global weak solutions and blow-up structure for the Degasperis–Procesi equation (2006, background): “[5,26,31,35,36,39,51–54] and the citations therein.”
ON THE UNIQUENESS OF DISCONTINUOUS SOLUTIONS TO THE DEGASPERIS–PROCESI EQUATION (2007, methodology): “Regarding the well-posedness of the initial value problem for the DegasperisProcesi equation, Yin has studied this within certain functional classes in a series of papers [25, 26, 27, 28].”
Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (2006, background): “2 , we briefly collect the needed results from [47, 50 ] in order to pursue our goal.”
On the well-posedness of the Degasperis-Procesi equation (2006, background): “These considerations lead us to suspect that it should be possible to prove various existence, uniqueness, and stability results for the Degasperis–Procesi equation in functional classes that are significantly larger than the one used in [38], and this is what we set out to do in this paper.”