Shan Zheng

The Cauchy Problem for the Camassa-Holm Equation with Quartic Nonlinearity in Besov Spaces

Shan Zheng · Journal of Advances in Mathematics and Computer Science · 2016

In this paper, we study the Camassa-Holm equation with quartic nonlinearity. We prove that the Cauchy problem for this equation is locally well-posed in the critical Besov space  or in  with 1 ≤ p, r ≤ +∞, s > max{1+1/p, 3/2}. We also prove that if a weaker -topology is used,...