Title: Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude
Abstract: In this paper, we study the local well-posedness for a shallow water wave equation for waves of large amplitude in the framework of Sobolev spaces. By using Kato’s semigroup approach for quasilinear evolution equations, we establish the local well-posedness in Hs with s>32. Furthermore, we show a persistence property for strong solutions.
Publication Year: 2017
Publication Date: 2017-11-29
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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