Infinite propagation speed for the Degasperis–Procesi equation☆

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Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (2006, methodology): “Analogous to the case of Camassa-Holm equation [8], Henry [ 27 ] and Mustafa [41] showed that smooth solutions to Eq. (1.2) have infinite speed of propagation.”
On the Blow-up Phenomena for the Degasperis–Procesi Equation (2010, methodology): “[14, 24, 28, 30, 32, 36, 37] and the citations therein.”
Stability of peakons for the Degasperis‐Procesi equation (2007, methodology): “Analogous to the case of Camassa-Holm equation [6], Henry [19] and Mustafa [29] showed that smooth solutions to equation (1.5) have infinite speed of propagation.”
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation (2007, methodology): “Analogous to the case of the Camassa-Holm equation [9], Henry [27] and Mustafa [39] showed that smooth solutions to Eq.”
Global weak solutions and blow-up structure for the Degasperis–Procesi equation (2006, result): “Analogous to the case of Camassa–Holm equation [9], Henry [26] and Mustafa [42] showed that smooth solutions to Eq.”