On low regularity of the Ostrovsky, Stepanyams and Tsimring equation |
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| Authors: | Xiangqing Zhao |
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| Affiliation: | a Department of Mathematics, Zhejiang Ocean University, Zhoushan, Zhejiang 316000, PR China
b School of Science, Shanghai University, Shanghai 200444, PR China |
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| Abstract: | In this paper we prove, by using the Fourier restriction norm method, that the initial value problem of the Ostrovsky, Stepanyams and Tsimring equation ut+uxxx+η(Hux+Huxxx)+uux=0 (x∈R, t?0), where η>0 and H denotes the usual Hilbert transformation, is locally well-posed in the Sobolev space Hs(R) for any  , which improve our former result in Zhao and Cui (2009) [5]. |
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| Keywords: | Initial value problem Ostrovsky, Stepanyams and Tsimring equation Locally well-posed |
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