Details
| Original language | English |
|---|---|
| Pages (from-to) | 69-76 |
| Number of pages | 8 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 368 |
| Issue number | 1-2 |
| Publication status | Published - 13 Aug 2007 |
Abstract
In the Letter we first establish local well-posedness of several initial boundary value problems of the Degasperis-Procesi equation. Then we present some blow-up and global existence results for strong solutions. Finally we investigate global and local weak solutions to the equation on the half line and on a compact interval, respectively.
Keywords
- Blow-up and global existence, Degasperis-Procesi equation, Initial boundary value problems, Weak solutions
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 368, No. 1-2, 13.08.2007, p. 69-76.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the initial boundary value problems for the Degasperis-Procesi equation
AU - Escher, Joachim
AU - Yin, Zhaoyang
N1 - Funding information: The second author is now visiting the institute for applied mathematics of Leibniz University of Hanover in Germany. The financial support of the Alexander von Humboldt Foundation is gratefully acknowledged. This work was also partially supported by the NNSF of China (No. 10531040), the SRF for ROCS, SEM and the NSF of Guangdong Province. The authors thank the referee for valuable comments and suggestions.
PY - 2007/8/13
Y1 - 2007/8/13
N2 - In the Letter we first establish local well-posedness of several initial boundary value problems of the Degasperis-Procesi equation. Then we present some blow-up and global existence results for strong solutions. Finally we investigate global and local weak solutions to the equation on the half line and on a compact interval, respectively.
AB - In the Letter we first establish local well-posedness of several initial boundary value problems of the Degasperis-Procesi equation. Then we present some blow-up and global existence results for strong solutions. Finally we investigate global and local weak solutions to the equation on the half line and on a compact interval, respectively.
KW - Blow-up and global existence
KW - Degasperis-Procesi equation
KW - Initial boundary value problems
KW - Weak solutions
UR - http://www.scopus.com/inward/record.url?scp=34547398507&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2007.03.073
DO - 10.1016/j.physleta.2007.03.073
M3 - Article
AN - SCOPUS:34547398507
VL - 368
SP - 69
EP - 76
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 1-2
ER -