Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case

Fernando Bernal-Vílchis, Nakao Hayashi and Pavel I. Naumkin

International Journal of Differential Equations, 2017, vol. 2017, 1-21

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:3879017

DOI: 10.1155/2017/3879017

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