Existence and uniqueness of global weak solutions to a generalized Camassa-Holm equation
arXiv:1905.06150
Abstract
This paper is concerned with the existence and uniqueness of global weak solutions to a generalized Camassa-Holm equation on real line. By introducing some new variables, the equation is transformed into two different semi-linear systems. Then the existence and uniqueness of global weak solutions to the original equation are obtained from that of the two semi-linear systems, respectively.
28 pages. arXiv admin note: text overlap with arXiv:1601.03889, arXiv:1509.08569, arXiv:1401.0312 by other authors