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Liu, Yue; Yin, Zhaoyang

Global existence and blow-up phenomena for the Degasperis-Procesi equation. (English) Zbl 1131.35074

Commun. Math. Phys. 267, No. 3, 801-820 (2006).
The authors obtain two new global existence results for strong solution of the Degasperis-Procesi equation with certain initial profiles. They also establish two new blow-up results and show the existence of a breaking point where the slope of the solution becomes infinite exactly at breaking time.
Reviewer: Igor Andrianov (Köln)

Cited in 188 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35B40 Asymptotic behavior of solutions to PDEs

Keywords:

existence; global solution; blow-up; breaking point
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\textit{Y. Liu} and \textit{Z. Yin}, Commun. Math. Phys. 267, No. 3, 801--820 (2006; Zbl 1131.35074)
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References:

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