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Escher, Joachim; Liu, Yue; Yin, Zhaoyang
Journal of functional analysis, 12/2006, Volume: 241, Issue: 2Journal Article
In this paper we study several qualitative properties of the Degasperis–Procesi equation. We first established the precise blow-up rate and then determine the blow-up set of blow-up strong solutions to this equation for a large class of initial data. We finally prove the existence and uniqueness of global weak solutions to the equation provided the initial data satisfies appropriate conditions.
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