Open AccessOn the Cauchy problem for the Degasperis-Procesi equation
Author(s) -
Guilong Gui,
Yue Liu
Publication year - 2011
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/s0033-569x-2011-01216-5
Subject(s) - mathematics , mathematical analysis , initial value problem , cauchy problem , pure mathematics
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.