Title of article
On the Cauchy problem for the periodic generalized Degasperis–Procesi equation
Author/Authors
Xinglong Wu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
18
From page
1428
To page
1445
Abstract
We mainly study the Cauchy problem of the periodic generalized Degasperis–Procesi equation. First, we
establish the local well-posedness for the equation. Second, we give the precise blow-up scenario, a conservation
law and prove that the equation has smooth solutions which blow up in finite time. Finally, we
investigate the blow-up rate for the blow-up solutions.
© 2010 Elsevier Inc. All rights reserved
Keywords
The periodic generalized Degasperis–Procesi equation , well-posedness , Blow-up scenario , Blow-upphenomena , conservation law , blow-up rate
Journal title
Journal of Functional Analysis
Serial Year
2011
Journal title
Journal of Functional Analysis
Record number
840384
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