Global existence and blow-up for a weakly dissipative μDP equation
Abstract
In this paper, we study a weakly dissipative variant of the periodic Degasperis-Procesi equation. We show the local well-posedness of the associated Cauchy problem in Hs(), s>3/2, and discuss the precise blow-up scenario for s=3. We also present explicit examples for globally existing solutions and blow-up.
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