A Note on the Generalized Camassa-Holm Equation

Yun Wu, Ping Zhao
2014 Journal of Function Spaces  
We study the generalized Camassa-Holm equation which contains the Camassa-Holm (CH) equation and Novikov equation as special cases with the periodic boundary condition. We get a blow-up scenario and obtain the global existence of strong and weak solutions under suitable assumptions, respectively. Then, we construct the periodic peaked solutions and apply them to prove the ill-posedness inHswiths<3/2.
doi:10.1155/2014/975925 fatcat:su3dkglqmrfijiez24gvapauem