Constantin, A. and Escher, J. (1998) Global Weak Solutions for a Shallow Water Equation. Indiana University Mathematics Journal, 47, 1527-1546.
https://doi.org/10.1512/iumj.1998.47.1466

has been cited by the following article:

• TITLE: Well-Posedness and Infinite Propagation Speed for the Fifth-Order Camassa-Holm Equation with Weakly Dissipative Term

  AUTHORS: Mingyue Lin

  KEYWORDS: Blow up Criterion, Global Existence, Infinite Propagation Speed

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.3, March 10, 2023

  ABSTRACT: In this paper, we study the fifth-order Camassa-Holm equation with weakly dissipative term. We first give the local well-posedness result and the blow up criterion. Then, we establish sufficient conditions to guarantee that the solution exists globally in time. Finally, the infinite propagation speed of this equation is also investigated.