Abstract
We consider the Cauchy problem for the Ostrovsky-Hunter equation , , , , where . Define . Suppose that is a pseudodifferential operator with a symbol such that , , and . For example, we can take . We prove the global in time existence and the large time asymptotic behavior of solutions.
Citation
Fernando Bernal-Vílchis. Nakao Hayashi. Pavel I. Naumkin. "Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case." Int. J. Differ. Equ. 2017 1 - 21, 2017. https://doi.org/10.1155/2017/3879017