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Persistence properties for the Fokas-Olver-Rosenau-Qiao equation in weighted $L^{p}$ spaces.
- Source :
- Boundary Value Problems; 12/2/2015, Vol. 2015 Issue 1, p1-11, 11p
- Publication Year :
- 2015
-
Abstract
- In this paper, we mainly study persistence properties for a generalized Camassa-Holm equation with cubic nonlinearity, and we prove the persistence properties in weighted spaces of the solution to the equation, provided that the initial potential satisfies a certain sign condition. Our results extend the work of Brandolese (Int. Math. Res. Not. 22:5161-5181, ) on persistence properties to the Fokas-Olver-Rosenau-Qiao equation. In contrast to the Camassa-Holm equation with quadratic nonlinearity, the effect of cubic nonlinearity of the Fokas-Olver-Rosenau-Qiao equation on the persistence properties is rather delicate. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2015
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 111312791
- Full Text :
- https://doi.org/10.1186/s13661-015-0488-0