Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592212 | Journal of Functional Analysis | 2006 | 29 Pages |
Abstract
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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