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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 8
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Articles

On the Cauchy problem for a generalized Degasperis-Procesi equation

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Pages 1300-1315 | Received 24 Aug 2018, Accepted 17 Sep 2018, Published online: 06 Oct 2018
 

ABSTRACT

We first establish the local well-posedness for a generalized Degasperis-Procesi equation in nonhomogeneous Besov spaces. Then we present a global existence result for the equation. Moreover, we obtain a blow-up criteria and provide a sufficient condition for strong solutions to blow up in finite time.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by NNSFC [grant number 11671407], FDCT [grant number 098/2013/A3], Guangdong Special Support Program [grant number 8-2015], and the key project of NSF of Guangdong province [grant number 2016A03031104].

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