Sharp well-posedness of the Ostrovsky, Stepanyams and Tsimring equation
نویسنده
چکیده
In this paper, we study the Ostrovsky, Stepanyams and Tsimring equation. We show that the associated initial value problem is locally well-posed in Sobolev spaces H (R) for s > −3/2. We also prove that our result is sharp in the sense that the flow map of this equation fails to be C in H(R) for s < −3/2. AMS subject classifications: 35A07, 35Q53, 35Q35
منابع مشابه
Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion
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تاریخ انتشار 2013