Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841137 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 8 Pages |
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)Hs(S), s>3/2s>3/2, and discuss the precise blow-up scenario for s=3s=3. We also present explicit examples for globally existing solutions and blow-up.
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Authors
Martin Kohlmann,