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Well-posedness and blow-up phenomena for the generalized Degasperis–Procesi equation
- Source :
-
Nonlinear Analysis . Jul2010, Vol. 73 Issue 1, p136-146. 11p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, we mainly study the Cauchy problem of the generalized Degasperis–Procesi equation. We establish the local well-posedness and give the precise blow-up scenario for the equation. Then we show that the equation has smooth solutions which blow up in finite time. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 73
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 50672184
- Full Text :
- https://doi.org/10.1016/j.na.2010.03.006