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On the Cauchy problem for the Degasperis-Procesi equation

Guilong Gui, Yue Liu

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Source: Crossref

Published: Apr 5, 2011

DOI: 10.1090/s0033-569x-2011-01216-5

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Source abstract

We establish here the local well-posedness for the Degasperis-Procesi equation in the Besov spaces. We also determine some blow-up criteria of the strong solutions and investigate the nonexistence of smooth solitary-wave solutions.

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On the Cauchy problem for the Degasperis-Procesi equation — Mathematical Frontier Network