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On the Local Well-Posedness of the Cauchy Problem for a Modified Two-Component Camassa-Holm System in Besov Spaces
- Source :
- International Journal of Partial Differential Equations. 2013:1-13
- Publication Year :
- 2013
- Publisher :
- Hindawi Limited, 2013.
-
Abstract
- We consider the Cauchy problem for an integrable modified two-component Camassa-Holm system with cubic nonlinearity. By using the Littlewood-Paley decomposition, nonhomogeneous Besov spaces, and a priori estimates for linear transport equation, we prove that the Cauchy problem is locally well-posed in Besov spaces Bp, rs with 1≤p, r≤+∞ and s>max{2+(1/p),5/2}.
Details
- ISSN :
- 23146524
- Volume :
- 2013
- Database :
- OpenAIRE
- Journal :
- International Journal of Partial Differential Equations
- Accession number :
- edsair.doi...........f9545c58a827c273a3ef120d3a6eda61