Abstract
The pseudo-parabolic regularization technique is applied to establish the well-posedness of local solutions for a generalized Novikov equation in the Sobolev space \(H^s(R)\) with \(s>\frac{3}{2}\). The existence of local weak solutions for the equation in the lower order Sobolev space \(H^s\) with \(1\le s\le \frac{3}{2}\) is also investigated.
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Thanks are given to referees whose comments and suggestions are very helpful to improve our paper.
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This work is supported by the Fundamental Research Funds for the Central Universities (JBK120504).
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Lai, S., Zhang, F. & Hu, H. The well-posedness of local solutions for a generalized Novikov equation. Collect. Math. 65, 257–271 (2014). https://doi.org/10.1007/s13348-013-0097-0
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DOI: https://doi.org/10.1007/s13348-013-0097-0